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90325973268 = 223215973157081
BaseRepresentation
bin101010000011111011…
…0001111100100010100
322122010222020212101100
41110013312033210110
52434441422121033
6105254543030100
76345235050636
oct1240766174424
9278128225340
1090325973268
1135341725693
1215609b9b330
13869651527b
14452c312a56
152539cbb513
hex1507d8f914

90325973268 has 36 divisors (see below), whose sum is σ = 228339735988. Its totient is φ = 30106581120.

The previous prime is 90325973219. The next prime is 90325973317. The reversal of 90325973268 is 86237952309.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90325973219) and next prime (90325973317).

It can be written as a sum of positive squares in 2 ways, for example, as 28330949124 + 61995024144 = 168318^2 + 248988^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×903259732682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 496488 + ... + 653568.

Almost surely, 290325973268 is an apocalyptic number.

It is an amenable number.

90325973268 is an abundant number, since it is smaller than the sum of its proper divisors (138013762720).

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

90325973268 is a wasteful number, since it uses less digits than its factorization.

90325973268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173064 (or 173059 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 90325973268 in words is "ninety billion, three hundred twenty-five million, nine hundred seventy-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 15973 31946 47919 63892 95838 143757 157081 191676 287514 314162 471243 575028 628324 942486 1413729 1884972 2827458 5654916 2509054813 5018109626 7527164439 10036219252 15054328878 22581493317 30108657756 45162986634 90325973268