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90120292587 = 32135320537079
BaseRepresentation
bin101001111101110010…
…1101000100011101011
322121121122020012112100
41103323211220203223
52434031243330322
6105222314344443
76340156563543
oct1237345504353
9277548205470
1090120292587
1135246612756
121557112b123
138662a1c420
14450cc92323
152526bdddac
hex14fb9688eb

90120292587 has 48 divisors (see below), whose sum is σ = 142921920960. Its totient is φ = 54378065664.

The previous prime is 90120292583. The next prime is 90120292601. The reversal of 90120292587 is 78529202109.

It is a happy number.

It is not a de Polignac number, because 90120292587 - 22 = 90120292583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90120292583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12727114 + ... + 12734192.

It is an arithmetic number, because the mean of its divisors is an integer number (2977540020).

Almost surely, 290120292587 is an apocalyptic number.

90120292587 is a deficient number, since it is larger than the sum of its proper divisors (52801628373).

90120292587 is a wasteful number, since it uses less digits than its factorization.

90120292587 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9204 (or 9201 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 90120292587 in words is "ninety billion, one hundred twenty million, two hundred ninety-two thousand, five hundred eighty-seven".

Divisors: 1 3 9 13 39 53 117 159 477 689 2053 2067 6159 6201 7079 18477 21237 26689 63711 80067 92027 108809 240201 276081 326427 375187 828243 979281 1125561 1414517 3376683 4243551 4877431 12730653 14533187 14632293 43599561 43896879 130798683 188931431 566794293 770258911 1700382879 2310776733 6932330199 10013365843 30040097529 90120292587