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13157750088 = 2332723729521
BaseRepresentation
bin11000100000100001…
…10101010101001000
31020221222121221220100
430100100311111020
5203421341000323
610013344125400
7644030013300
oct142020652510
936858557810
1013157750088
11564223042a
122672606860
131318c85352
148cb6b0600
15520212943
hex310435548

13157750088 has 72 divisors (see below), whose sum is σ = 41453637030. Its totient is φ = 3759356160.

The previous prime is 13157750087. The next prime is 13157750129. The reversal of 13157750088 is 88005775131.

13157750088 is a `hidden beast` number, since 13 + 1 + 57 + 7 + 500 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9899852004 + 3257898084 = 99498^2 + 57078^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (13157750087) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1861233 + ... + 1868288.

Almost surely, 213157750088 is an apocalyptic number.

13157750088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13157750088 is an abundant number, since it is smaller than the sum of its proper divisors (28295886942).

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

13157750088 is a wasteful number, since it uses less digits than its factorization.

13157750088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729547 (or 3729533 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 13157750088 in words is "thirteen billion, one hundred fifty-seven million, seven hundred fifty thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 3729521 7459042 11188563 14918084 22377126 26106647 29836168 33565689 44754252 52213294 67131378 78319941 89508504 104426588 134262756 156639882 182746529 208853176 234959823 268525512 313279764 365493058 469919646 548239587 626559528 730986116 939839292 1096479174 1461972232 1644718761 1879678584 2192958348 3289437522 4385916696 6578875044 13157750088