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85977417191372 = 22743661031080281
BaseRepresentation
bin10011100011001000101101…
…011010010000111111001100
3102021102100202000212000220122
4103203020231122100333030
542232123222300110442
6502505251415404112
724052443355664360
oct2343105532207714
9367370660760818
1085977417191372
11254388aa63a193
129786bbb083638
1338c88356b3355
1417334874532a0
159e170b01ddd2
hex4e322d690fcc

85977417191372 has 48 divisors (see below), whose sum is σ = 175956608712192. Its totient is φ = 35989968954240.

The previous prime is 85977417191371. The next prime is 85977417191423. The reversal of 85977417191372 is 27319171477958.

It is a junction number, because it is equal to n+sod(n) for n = 85977417191296 and 85977417191305.

It is not an unprimeable number, because it can be changed into a prime (85977417191371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79047872 + ... + 80128152.

It is an arithmetic number, because the mean of its divisors is an integer number (3665762681504).

Almost surely, 285977417191372 is an apocalyptic number.

It is an amenable number.

85977417191372 is an abundant number, since it is smaller than the sum of its proper divisors (89979191520820).

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

85977417191372 is a wasteful number, since it uses less digits than its factorization.

85977417191372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146438 (or 1146436 counting only the distinct ones).

The product of its digits is 186701760, while the sum is 71.

The spelling of 85977417191372 in words is "eighty-five trillion, nine hundred seventy-seven billion, four hundred seventeen million, one hundred ninety-one thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 28 43 86 172 301 602 1204 66103 132206 264412 462721 925442 1080281 1850884 2160562 2842429 4321124 5684858 7561967 11369716 15123934 19897003 30247868 39794006 46452083 79588012 92904166 185808332 325164581 650329162 1300658324 71409814943 142819629886 285639259772 499868704601 999737409202 1999474818404 3070622042549 6141244085098 12282488170196 21494354297843 42988708595686 85977417191372