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10564665741 = 3271917949307
BaseRepresentation
bin10011101011011010…
…00000000110001101
31000021021021121220100
421311231000012031
5133114023300431
64504153241313
7522542114520
oct116555000615
930237247810
1010564665741
114531529813
12206a103239
13cc4994106
1472314cbb7
1541c74b4e6
hex275b4018d

10564665741 has 48 divisors (see below), whose sum is σ = 18460915200. Its totient is φ = 5687151264.

The previous prime is 10564665737. The next prime is 10564665757. The reversal of 10564665741 is 14756646501.

10564665741 is a `hidden beast` number, since 10 + 5 + 6 + 4 + 66 + 574 + 1 = 666.

It is not a de Polignac number, because 10564665741 - 22 = 10564665737 is a prime.

It is a super-2 number, since 2×105646657412 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10564665341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189610 + ... + 238916.

It is an arithmetic number, because the mean of its divisors is an integer number (384602400).

Almost surely, 210564665741 is an apocalyptic number.

It is an amenable number.

10564665741 is a deficient number, since it is larger than the sum of its proper divisors (7896249459).

10564665741 is a wasteful number, since it uses less digits than its factorization.

10564665741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49518 (or 49515 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 10564665741 in words is "ten billion, five hundred sixty-four million, six hundred sixty-five thousand, seven hundred forty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 179 399 537 1197 1253 1611 3401 3759 10203 11277 23807 30609 49307 71421 147921 214263 345149 443763 936833 1035447 2810499 3106341 6557831 8431497 8825953 19673493 26477859 59020479 61781671 79433577 167693107 185345013 503079321 556035039 1173851749 1509237963 3521555247 10564665741