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90625237653 = 3317913988741
BaseRepresentation
bin101010001100110101…
…1110110001010010101
322122220211101001221110
41110121223312022111
52441100030101103
6105344353205233
76355530544566
oct1243153661225
9278824331843
1090625237653
1135485647425
1215692260819
1387135162a2
144559d7416d
1525561d2403
hex1519af6295

90625237653 has 32 divisors (see below), whose sum is σ = 127220531200. Its totient is φ = 57311841600.

The previous prime is 90625237621. The next prime is 90625237667. The reversal of 90625237653 is 35673252609.

It is not a de Polignac number, because 90625237653 - 25 = 90625237621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90625237673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 976863 + ... + 1065603.

It is an arithmetic number, because the mean of its divisors is an integer number (3975641600).

Almost surely, 290625237653 is an apocalyptic number.

90625237653 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

90625237653 is a deficient number, since it is larger than the sum of its proper divisors (36595293547).

90625237653 is a wasteful number, since it uses less digits than its factorization.

90625237653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88993.

The product of its (nonzero) digits is 2041200, while the sum is 48.

The spelling of 90625237653 in words is "ninety billion, six hundred twenty-five million, two hundred thirty-seven thousand, six hundred fifty-three".

Divisors: 1 3 31 79 93 139 237 417 2449 4309 7347 10981 12927 32943 88741 266223 340411 1021233 2750971 7010539 8252913 12334999 21031617 37004997 217326709 382384969 651980127 974464921 1147154907 2923394763 30208412551 90625237653