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90083572917 = 31321731337153
BaseRepresentation
bin101001111100101100…
…1100011110010110101
322121112002010122121120
41103321121203302311
52433442343313132
6105214523334153
76336232510242
oct1237131436265
9277462118546
1090083572917
1135227912718
1215560981359
138658233a00
1445080545c9
15252388902c
hex14f9663cb5

90083572917 has 48 divisors (see below), whose sum is σ = 142154915328. Its totient is φ = 50491883520.

The previous prime is 90083572897. The next prime is 90083572961. The reversal of 90083572917 is 71927538009.

It is not a de Polignac number, because 90083572917 - 230 = 89009831093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 90083572917.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90083572717) 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, 98613 + ... + 435765.

It is an arithmetic number, because the mean of its divisors is an integer number (2961560736).

Almost surely, 290083572917 is an apocalyptic number.

It is an amenable number.

90083572917 is a deficient number, since it is larger than the sum of its proper divisors (52071342411).

90083572917 is a wasteful number, since it uses less digits than its factorization.

90083572917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337230 (or 337217 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 90083572917 in words is "ninety billion, eighty-three million, five hundred seventy-two thousand, nine hundred seventeen".

Divisors: 1 3 13 17 31 39 51 93 169 221 403 507 527 663 1209 1581 2873 5239 6851 8619 15717 20553 89063 267189 337153 1011459 4382989 5731601 10451743 13148967 17194803 31355229 56978857 74510813 135872659 170936571 177679631 223532439 407617977 533038893 968640569 1766344567 2309835203 2905921707 5299033701 6929505609 30027857639 90083572917