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128649808056 = 233711179534297
BaseRepresentation
bin111011111010000100…
…0000100100010111000
3110022001211022101110210
41313310020010202320
54101433322324211
6135033443511120
712203030216460
oct1676410044270
9408054271423
10128649808056
114a61850aa20
1220b246884a0
13c193244ca3
146326040ba0
15352e55b9a6
hex1df42048b8

128649808056 has 256 divisors, whose sum is σ = 425118274560. Its totient is φ = 31409602560.

The previous prime is 128649808031. The next prime is 128649808061. The reversal of 128649808056 is 650808946821.

It is a happy number.

It is a super-2 number, since 2×1286498080562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 128649807987 and 128649808005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29937300 + ... + 29941596.

It is an arithmetic number, because the mean of its divisors is an integer number (1660618260).

Almost surely, 2128649808056 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 128649808056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212559137280).

128649808056 is an abundant number, since it is smaller than the sum of its proper divisors (296468466504).

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

128649808056 is a wasteful number, since it uses less digits than its factorization.

128649808056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5294 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 128649808056 in words is "one hundred twenty-eight billion, six hundred forty-nine million, eight hundred eight thousand, fifty-six".