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2260564137 = 3213174326431
BaseRepresentation
bin1000011010111101…
…0111100010101001
312211112122120000200
42012233113202221
514112201023022
61012151422413
7110006322666
oct20657274251
95745576020
102260564137
11a60036327
12531084a09
132a0448320
14176324a6d
15d36d1bac
hex86bd78a9

2260564137 has 48 divisors (see below), whose sum is σ = 3810014208. Its totient is φ = 1278789120.

The previous prime is 2260564093. The next prime is 2260564139. The reversal of 2260564137 is 7314650622.

2260564137 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 5 + 641 + 3 + 7 = 666.

It is not a de Polignac number, because 2260564137 - 211 = 2260562089 is a prime.

It is a super-2 number, since 2×22605641372 = 10220300434981109538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2260564139) 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, 72312 + ... + 98742.

It is an arithmetic number, because the mean of its divisors is an integer number (79375296).

Almost surely, 22260564137 is an apocalyptic number.

It is an amenable number.

2260564137 is a deficient number, since it is larger than the sum of its proper divisors (1549450071).

2260564137 is a wasteful number, since it uses less digits than its factorization.

2260564137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26510 (or 26507 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2260564137 is about 47545.3902812880. The cubic root of 2260564137 is about 1312.4183010915.

The spelling of 2260564137 in words is "two billion, two hundred sixty million, five hundred sixty-four thousand, one hundred thirty-seven".

Divisors: 1 3 9 13 17 39 43 51 117 129 153 221 387 559 663 731 1677 1989 2193 5031 6579 9503 26431 28509 79293 85527 237879 343603 449327 1030809 1136533 1347981 3092427 3409599 4043943 5841251 10228797 14774929 17523753 19321061 44324787 52571259 57963183 132974361 173889549 251173793 753521379 2260564137