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22076738590921 = 72199233732
BaseRepresentation
bin1010000010100001001000…
…01010010101100011001001
32220011111220212111200102221
411001100210022111203021
510343201130034402141
6114541525205254041
74435664106545200
oct501204412254311
986144825450387
1022076738590921
117041768438aa3
122586753104321
13c41a9b08cc51
1456473c674237
152843eed53bd1
hex1414242958c9

22076738590921 has 27 divisors (see below), whose sum is σ = 25818457794471. Its totient is φ = 18822246824304.

The previous prime is 22076738590913. The next prime is 22076738590939. The reversal of 22076738590921 is 12909583767022.

The square root of 22076738590921 is 4698589.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21841742455225 + 234996135696 = 4673515^2 + 484764^2 .

It is not a de Polignac number, because 22076738590921 - 23 = 22076738590913 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22076738590921.

It is not an unprimeable number, because it can be changed into a prime (22076738596921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6545132791 + ... + 6545136163.

It is an arithmetic number, because the mean of its divisors is an integer number (956239177573).

Almost surely, 222076738590921 is an apocalyptic number.

22076738590921 is the 4698589-th square number.

22076738590921 is the 2349295-th centered octagonal number.

It is an amenable number.

22076738590921 is a deficient number, since it is larger than the sum of its proper divisors (3741719203550).

22076738590921 is an frugal number, since it uses more digits than its factorization.

22076738590921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7158 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 61.

The spelling of 22076738590921 in words is "twenty-two trillion, seventy-six billion, seven hundred thirty-eight million, five hundred ninety thousand, nine hundred twenty-one".

Divisors: 1 7 49 199 1393 3373 9751 23611 39601 165277 277207 671227 1940449 4698589 11377129 32890123 79639903 133574173 557479321 935019211 2264048671 6545134477 15848340697 110938384879 450545685529 3153819798703 22076738590921