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42877925640 = 233351117297321
BaseRepresentation
bin100111111011101110…
…010011100100001000
311002200020101022022000
4213323232103210020
51200303222110030
631410422431000
73045361232364
oct477356234410
9132606338260
1042877925640
1117203520190
128387892460
134074394944
14210a8b82a4
1511ae4b5860
hex9fbb93908

42877925640 has 512 divisors, whose sum is σ = 170807616000. Its totient is φ = 9444556800.

The previous prime is 42877925633. The next prime is 42877925653. The reversal of 42877925640 is 4652977824.

42877925640 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 79 + 2 + 564 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5853180 + ... + 5860500.

It is an arithmetic number, because the mean of its divisors is an integer number (333608625).

Almost surely, 242877925640 is an apocalyptic number.

42877925640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42877925640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85403808000).

42877925640 is an abundant number, since it is smaller than the sum of its proper divisors (127929690360).

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

42877925640 is a wasteful number, since it uses less digits than its factorization.

42877925640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7398 (or 7388 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 42877925640 in words is "forty-two billion, eight hundred seventy-seven million, nine hundred twenty-five thousand, six hundred forty".