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85104956376 = 233211432498971
BaseRepresentation
bin100111101000010100…
…1101001001111011000
322010200002222201122100
41033100221221033120
52343243332101001
6103032514323400
76101660123226
oct1172051511730
9263602881570
1085104956376
11331025903a0
12145b1589560
13804395116b
144194b5bb16
152331758586
hex13d0a693d8

85104956376 has 96 divisors (see below), whose sum is σ = 257294157120. Its totient is φ = 25189617600.

The previous prime is 85104956371. The next prime is 85104956383. The reversal of 85104956376 is 67365940158.

85104956376 is a `hidden beast` number, since 8 + 5 + 1 + 0 + 4 + 9 + 563 + 76 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85104956371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1215430 + ... + 1283541.

It is an arithmetic number, because the mean of its divisors is an integer number (2680147470).

Almost surely, 285104956376 is an apocalyptic number.

85104956376 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

85104956376 is an abundant number, since it is smaller than the sum of its proper divisors (172189200744).

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

85104956376 is a wasteful number, since it uses less digits than its factorization.

85104956376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499037 (or 2499030 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 85104956376 in words is "eighty-five billion, one hundred four million, nine hundred fifty-six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 43 44 66 72 86 88 99 129 132 172 198 258 264 344 387 396 473 516 774 792 946 1032 1419 1548 1892 2838 3096 3784 4257 5676 8514 11352 17028 34056 2498971 4997942 7496913 9995884 14993826 19991768 22490739 27488681 29987652 44981478 54977362 59975304 82466043 89962956 107455753 109954724 164932086 179925912 214911506 219909448 247398129 322367259 329864172 429823012 494796258 644734518 659728344 859646024 967101777 989592516 1182013283 1289469036 1934203554 1979185032 2364026566 2578938072 3546039849 3868407108 4728053132 7092079698 7736814216 9456106264 10638119547 14184159396 21276239094 28368318792 42552478188 85104956376