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10042577088 = 26382163709
BaseRepresentation
bin10010101101001010…
…11001000011000000
3221220212212202220120
421112211121003000
5131031344431323
64340303140240
7503602332255
oct112645310300
927825782816
1010042577088
114293855895
121b432a4680
13c4077700b
146b3a8742c
153db9bd5e3
hex2569590c0

10042577088 has 56 divisors (see below), whose sum is σ = 26603766960. Its totient is φ = 3343395840.

The previous prime is 10042577081. The next prime is 10042577117. The reversal of 10042577088 is 88077524001.

It is not an unprimeable number, because it can be changed into a prime (10042577081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125778 + ... + 189486.

Almost surely, 210042577088 is an apocalyptic number.

It is an amenable number.

10042577088 is an abundant number, since it is smaller than the sum of its proper divisors (16561189872).

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

10042577088 is an equidigital number, since it uses as much as digits as its factorization.

10042577088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64545 (or 64535 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The spelling of 10042577088 in words is "ten billion, forty-two million, five hundred seventy-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 821 1642 2463 3284 4926 6568 9852 13136 19704 26272 39408 52544 63709 78816 127418 157632 191127 254836 382254 509672 764508 1019344 1529016 2038688 3058032 4077376 6116064 12232128 52305089 104610178 156915267 209220356 313830534 418440712 627661068 836881424 1255322136 1673762848 2510644272 3347525696 5021288544 10042577088