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86409123232768 = 210722717530653
BaseRepresentation
bin10011101001011010110001…
…000110000111110000000000
3102022221122001100221012002221
4103221122301012013300000
542311211341021422033
6503435445254220424
724125565424541020
oct2351326106076000
9368848040835087
1086409123232768
11255949a3424786
129836800654714
13392a464999b1b
14174a31c479a80
159eca761da12d
hex4e96b1187c00

86409123232768 has 88 divisors (see below), whose sum is σ = 197419190639072. Its totient is φ = 37030781435904.

The previous prime is 86409123232721. The next prime is 86409123232799. The reversal of 86409123232768 is 86723232190468.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 162570130 + ... + 163100782.

Almost surely, 286409123232768 is an apocalyptic number.

It is an amenable number.

86409123232768 is an abundant number, since it is smaller than the sum of its proper divisors (111010067406304).

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

86409123232768 is a wasteful number, since it uses less digits than its factorization.

86409123232768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553397 (or 553379 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 61.

The spelling of 86409123232768 in words is "eighty-six trillion, four hundred nine billion, one hundred twenty-three million, two hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 7168 22717 45434 90868 159019 181736 318038 363472 530653 636076 726944 1061306 1272152 1453888 2122612 2544304 2907776 3714571 4245224 5088608 5815552 7429142 8490448 10177216 11631104 14858284 16980896 20354432 23262208 29716568 33961792 40708864 59433136 67923584 81417728 118866272 135847168 162835456 237732544 271694336 475465088 543388672 950930176 1901860352 3803720704 12054844201 24109688402 48219376804 84383909407 96438753608 168767818814 192877507216 337535637628 385755014432 675071275256 771510028864 1350142550512 1543020057728 2700285101024 3086040115456 5400570202048 6172080230912 10801140404096 12344160461824 21602280808192 43204561616384 86409123232768