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13339993408 = 267312394019
BaseRepresentation
bin11000110110010000…
…00010010101000000
31021102200112212201221
430123020002111000
5204310014242113
610043414204424
7651402034030
oct143310022500
937380485657
1013339993408
115726095545
122703653714
131347963331
1490798d8c0
1553121098d
hex31b202540

13339993408 has 112 divisors (see below), whose sum is σ = 31367577600. Its totient is φ = 5508195840.

The previous prime is 13339993391. The next prime is 13339993411. The reversal of 13339993408 is 80439993331.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3317223 + ... + 3321241.

Almost surely, 213339993408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13339993408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15683788800).

13339993408 is an abundant number, since it is smaller than the sum of its proper divisors (18027584192).

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

13339993408 is a wasteful number, since it uses less digits than its factorization.

13339993408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 52.

The spelling of 13339993408 in words is "thirteen billion, three hundred thirty-nine million, nine hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 239 248 434 448 478 496 868 956 992 1673 1736 1912 1984 3346 3472 3824 4019 6692 6944 7409 7648 8038 13384 13888 14818 15296 16076 26768 28133 29636 32152 51863 53536 56266 59272 64304 103726 107072 112532 118544 124589 128608 207452 225064 237088 249178 257216 414904 450128 474176 498356 829808 872123 900256 960541 996712 1659616 1744246 1800512 1921082 1993424 3319232 3488492 3842164 3986848 6723787 6976984 7684328 7973696 13447574 13953968 15368656 26895148 27907936 29776771 30737312 53790296 55815872 59553542 61474624 107580592 119107084 208437397 215161184 238214168 416874794 430322368 476428336 833749588 952856672 1667499176 1905713344 3334998352 6669996704 13339993408