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20399185278056 = 231319311971690433
BaseRepresentation
bin1001010001101100011100…
…01100010011010001101000
32200020010212021222201020202
410220312032030103101220
510133210012412344211
6111215131212011332
74203535553632154
oct450661614232150
980203767881222
1020399185278056
116555278313812
1223555b9a60b48
13b4c833bb6290
1450747c142064
15255969e9a53b
hex128d8e313468

20399185278056 has 128 divisors (see below), whose sum is σ = 44984477260800. Its totient is φ = 8587935498240.

The previous prime is 20399185278019. The next prime is 20399185278061. The reversal of 20399185278056 is 65087258199302.

It is a super-2 number, since 2×203991852780562 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20399185277983 and 20399185278001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11222216 + ... + 12912648.

It is an arithmetic number, because the mean of its divisors is an integer number (351441228600).

Almost surely, 220399185278056 is an apocalyptic number.

20399185278056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20399185278056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22492238630400).

20399185278056 is an abundant number, since it is smaller than the sum of its proper divisors (24585291982744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20399185278056 is a wasteful number, since it uses less digits than its factorization.

20399185278056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690699 (or 1690695 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 65.

The spelling of 20399185278056 in words is "twenty trillion, three hundred ninety-nine billion, one hundred eighty-five million, two hundred seventy-eight thousand, fifty-six".

Divisors: 1 2 4 8 13 19 26 31 38 52 62 76 104 124 152 197 247 248 394 403 494 589 788 806 988 1178 1576 1612 1976 2356 2561 3224 3743 4712 5122 6107 7486 7657 10244 12214 14972 15314 20488 24428 29944 30628 48659 48856 61256 79391 97318 116033 158782 194636 232066 317564 389272 464132 635128 928264 1508429 1690433 3016858 3380866 6033716 6761732 12067432 13523464 21975629 32118227 43951258 52403423 64236454 87902516 104806846 128472908 175805032 209613692 256945816 333015301 417536951 419227384 666030602 681244499 835073902 995665037 1332061204 1362488998 1670147804 1991330074 2664122408 2724977996 3340295608 3982660148 4329198913 5449955992 6327290719 7965320296 8658397826 10323474331 12654581438 12943645481 17316795652 20646948662 25309162876 25887290962 34633591304 41293897324 50618325752 51774581924 82254779347 82587794648 103549163848 134205166303 164509558694 196146012289 268410332606 329019117388 392292024578 536820665212 658038234776 784584049156 1073641330424 1569168098312 2549898159757 5099796319514 10199592639028 20399185278056