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10564460632 = 2311265916561
BaseRepresentation
bin10011101011011000…
…01110000001011000
31000021020220012112201
421311230032001120
5133114000220012
64504145015544
7522540301525
oct116554160130
930236805481
1010564460632
1145313a9700
12206a0245b4
13cc492194b
147230d814c
1541c70a857
hex275b0e058

10564460632 has 48 divisors (see below), whose sum is σ = 21807185400. Its totient is φ = 4794451200.

The previous prime is 10564460623. The next prime is 10564460659. The reversal of 10564460632 is 23606446501.

It is a super-2 number, since 2×105644606322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10564460591 and 10564460600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 629632 + ... + 646192.

Almost surely, 210564460632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10564460632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10903592700).

10564460632 is an abundant number, since it is smaller than the sum of its proper divisors (11242724768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10564460632 is a wasteful number, since it uses less digits than its factorization.

10564460632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17248 (or 17233 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 10564460632 in words is "ten billion, five hundred sixty-four million, four hundred sixty thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 659 968 1318 2636 5272 7249 14498 16561 28996 33122 57992 66244 79739 132488 159478 182171 318956 364342 637912 728684 1457368 2003881 4007762 8015524 10913699 16031048 21827398 43654796 87309592 120050689 240101378 480202756 960405512 1320557579 2641115158 5282230316 10564460632