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90831412919 = 13179223175039
BaseRepresentation
bin101010010010111111…
…0010101111010110111
322200110012022212020102
41110211332111322313
52442010320203134
6105421040224315
76363613161632
oct1244576257267
9280405285212
1090831412919
1135580a67a05
121572b30b09b
1387471532a0
1445794c2c19
15256935b37e
hex1525f95eb7

90831412919 has 16 divisors (see below), whose sum is σ = 98806579200. Its totient is φ = 83001619296.

The previous prime is 90831412909. The next prime is 90831412921. The reversal of 90831412919 is 91921413809.

It is a cyclic number.

It is not a de Polignac number, because 90831412919 - 28 = 90831412663 is a prime.

It is a super-2 number, since 2×908314129192 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90831412909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431402 + ... + 606440.

It is an arithmetic number, because the mean of its divisors is an integer number (6175411200).

Almost surely, 290831412919 is an apocalyptic number.

90831412919 is a deficient number, since it is larger than the sum of its proper divisors (7975166281).

90831412919 is a wasteful number, since it uses less digits than its factorization.

90831412919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175454.

The product of its (nonzero) digits is 139968, while the sum is 47.

The spelling of 90831412919 in words is "ninety billion, eight hundred thirty-one million, four hundred twelve thousand, nine hundred nineteen".

Divisors: 1 13 179 223 2327 2899 39917 175039 518921 2275507 31331981 39033697 407315753 507438061 6987031763 90831412919