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42556686560 = 2552311564317
BaseRepresentation
bin100111101000100100…
…111000000011100000
311001211211220200010022
4213220210320003200
51144124002432220
631314505253012
73034410603323
oct475044700340
9131754820108
1042556686560
111705915a543
1282b8194168
13402296b74b
1420b9d767ba
1511911ad925
hex9e89380e0

42556686560 has 48 divisors (see below), whose sum is σ = 104911492896. Its totient is φ = 16282556928.

The previous prime is 42556686541. The next prime is 42556686563. The reversal of 42556686560 is 6568665524.

It is a super-2 number, since 2×425566865602 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42556686563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5778479 + ... + 5785838.

It is an arithmetic number, because the mean of its divisors is an integer number (2185656102).

Almost surely, 242556686560 is an apocalyptic number.

42556686560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42556686560 is an abundant number, since it is smaller than the sum of its proper divisors (62354806336).

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

42556686560 is a wasteful number, since it uses less digits than its factorization.

42556686560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11564355 (or 11564347 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 53.

The spelling of 42556686560 in words is "forty-two billion, five hundred fifty-six million, six hundred eighty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 11564317 23128634 46257268 57821585 92514536 115643170 185029072 231286340 265979291 370058144 462572680 531958582 925145360 1063917164 1329896455 1850290720 2127834328 2659792910 4255668656 5319585820 8511337312 10639171640 21278343280 42556686560