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656002036102056 = 233727349671538441
BaseRepresentation
bin1001010100101000010110000…
…0010101010111001110101000
310012000201011220210212200200120
42111022011200111113032220
51141440414132220231211
610243111101445403240
7255114403665046200
oct22512054025271650
93160634823780616
10656002036102056
111800279a0495056
12616a970a709520
132220695a3672b7
14b7dc94cc3b400
1550c91b9909d06
hex254a1605573a8

656002036102056 has 192 divisors, whose sum is σ = 1934285341956480. Its totient is φ = 184824292423680.

The previous prime is 656002036102037. The next prime is 656002036102067. The reversal of 656002036102056 is 650201630200656.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 656002036101999 and 656002036102017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425637796 + ... + 427176236.

It is an arithmetic number, because the mean of its divisors is an integer number (10074402822690).

Almost surely, 2656002036102056 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 656002036102056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967142670978240).

656002036102056 is an abundant number, since it is smaller than the sum of its proper divisors (1278283305854424).

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

656002036102056 is a wasteful number, since it uses less digits than its factorization.

656002036102056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543504 (or 1543493 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 656002036102056 in words is "six hundred fifty-six trillion, two billion, thirty-six million, one hundred two thousand, fifty-six".