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42568187904 = 21631011
BaseRepresentation
bin100111101001010000…
…110000000000000000
311001212122120000000000
4213221100300000000
51144134424003104
631320000000000
73034610425044
oct475120600000
9131778500000
1042568187904
11170646a5690
128300000000
134025167788
1420bb6cc024
1511921d1639
hex9e9430000

42568187904 has 374 divisors, whose sum is σ = 139312220196. Its totient is φ = 12899450880.

The previous prime is 42568187903. The next prime is 42568187911. The reversal of 42568187904 is 40978186524.

It is a happy number.

42568187904 is a `hidden beast` number, since 4 + 2 + 568 + 1 + 8 + 79 + 0 + 4 = 666.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (42568187903) by changing a digit.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 3869835259 + ... + 3869835269.

Almost surely, 242568187904 is an apocalyptic number.

42568187904 is a gapful number since it is divisible by the number (44) 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 42568187904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69656110098).

42568187904 is an abundant number, since it is smaller than the sum of its proper divisors (96744032292).

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

42568187904 is an frugal number, since it uses more digits than its factorization.

42568187904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 42568187904 in words is "forty-two billion, five hundred sixty-eight million, one hundred eighty-seven thousand, nine hundred four".