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42875898624 = 2832133161757
BaseRepresentation
bin100111111011100110…
…100100101100000000
311002200002120022202100
4213323212210230000
51200302212223444
631410311150400
73045335060616
oct477346445400
9132602508670
1042875898624
1117202366269
128387075400
134073b35120
14210a50b6b6
1511ae214e69
hex9fb9a4b00

42875898624 has 432 divisors, whose sum is σ = 139863103744. Its totient is φ = 12541132800.

The previous prime is 42875898599. The next prime is 42875898643. The reversal of 42875898624 is 42689857824.

42875898624 is a `hidden beast` number, since 4 + 28 + 7 + 589 + 8 + 6 + 24 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56638854 + ... + 56639610.

Almost surely, 242875898624 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 42875898624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69931551872).

42875898624 is an abundant number, since it is smaller than the sum of its proper divisors (96987205120).

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

42875898624 is a wasteful number, since it uses less digits than its factorization.

42875898624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 867 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 42875898624 in words is "forty-two billion, eight hundred seventy-five million, eight hundred ninety-eight thousand, six hundred twenty-four".