Search a number
-
+
10105651656 = 2332157893989
BaseRepresentation
bin10010110100101100…
…00000000111001000
3222002021120021221200
421122112000013020
5131144021323111
64350435104200
7505266423162
oct113226000710
928067507850
1010105651656
114316416731
121b60442060
13c5085c549
146bc1c5932
153e22cc256
hex25a5801c8

10105651656 has 48 divisors (see below), whose sum is σ = 27543831900. Its totient is φ = 3347091072.

The previous prime is 10105651627. The next prime is 10105651667. The reversal of 10105651656 is 65615650101.

It can be written as a sum of positive squares in 2 ways, for example, as 9171126756 + 934524900 = 95766^2 + 30570^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10105651656.

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, 435691 + ... + 458298.

Almost surely, 210105651656 is an apocalyptic number.

It is an amenable number.

10105651656 is an abundant number, since it is smaller than the sum of its proper divisors (17438180244).

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

10105651656 is a wasteful number, since it uses less digits than its factorization.

10105651656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894158 (or 894151 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 10105651656 in words is "ten billion, one hundred five million, six hundred fifty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1256 1413 1884 2826 3768 5652 11304 893989 1787978 2681967 3575956 5363934 7151912 8045901 10727868 16091802 21455736 32183604 64367208 140356273 280712546 421068819 561425092 842137638 1122850184 1263206457 1684275276 2526412914 3368550552 5052825828 10105651656