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87913131400 = 23522939149563
BaseRepresentation
bin101000111100000000…
…1111110110110001000
322101220211001210120201
41101320001332312020
52420021230201100
6104215311301544
76231366200353
oct1217001766610
9271824053521
1087913131400
11343137418a6
1215055b1a8b4
1383a06813a3
14437daad29a
15244805a36a
hex147807ed88

87913131400 has 48 divisors (see below), whose sum is σ = 204468944400. Its totient is φ = 35153052480.

The previous prime is 87913131391. The next prime is 87913131401. The reversal of 87913131400 is 413131978.

It is a self number, because there is not a number n which added to its sum of digits gives 87913131400.

It is not an unprimeable number, because it can be changed into a prime (87913131401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 513019 + ... + 662581.

It is an arithmetic number, because the mean of its divisors is an integer number (4259769675).

Almost surely, 287913131400 is an apocalyptic number.

It is an amenable number.

87913131400 is an abundant number, since it is smaller than the sum of its proper divisors (116555813000).

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

87913131400 is a wasteful number, since it uses less digits than its factorization.

87913131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152518 (or 152509 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 87913131400 in words is "eighty-seven billion, nine hundred thirteen million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2939 5878 11756 14695 23512 29390 58780 73475 117560 146950 149563 293900 299126 587800 598252 747815 1196504 1495630 2991260 3739075 5982520 7478150 14956300 29912600 439565657 879131314 1758262628 2197828285 3516525256 4395656570 8791313140 10989141425 17582626280 21978282850 43956565700 87913131400