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90801631713 = 3132325974597
BaseRepresentation
bin101010010010000110…
…0101111000111100001
322200101010021211002210
41110210030233013201
52441430204203323
6105414054032333
76363102064152
oct1244414570741
9280333254083
1090801631713
1135566176941
12157213486a9
138740c26a80
14457556d929
152566927293
hex152432f1e1

90801631713 has 48 divisors (see below), whose sum is σ = 138609051840. Its totient is φ = 52541841792.

The previous prime is 90801631639. The next prime is 90801631727. The reversal of 90801631713 is 31713610809.

It is not a de Polignac number, because 90801631713 - 28 = 90801631457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (90801631763) 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 47 ways as a sum of consecutive naturals, for example, 1179931 + ... + 1254527.

It is an arithmetic number, because the mean of its divisors is an integer number (2887688580).

Almost surely, 290801631713 is an apocalyptic number.

It is an amenable number.

90801631713 is a deficient number, since it is larger than the sum of its proper divisors (47807420127).

90801631713 is a wasteful number, since it uses less digits than its factorization.

90801631713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74718 (or 74695 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 90801631713 in words is "ninety billion, eight hundred one million, six hundred thirty-one thousand, seven hundred thirteen".

Divisors: 1 3 13 23 39 59 69 177 299 529 767 897 1357 1587 2301 4071 6877 17641 20631 31211 52923 74597 93633 223791 405743 969761 1217229 1715731 2909283 4401223 5147193 13203669 22304503 39461813 57215899 66913509 101228129 118385439 171647697 303684387 513003569 1315965677 1539010707 2328246967 3947897031 6984740901 30267210571 90801631713