Search a number
-
+
10577212056 = 2332761193043
BaseRepresentation
bin10011101100111001…
…10111001010011000
31000022010220001012200
421312130313022120
5133130231241211
64505322210200
7523053550635
oct116634671230
930263801180
1010577212056
114538618a74
122072353960
13cc7467978
14724a9718c
1541d8c8b56
hex276737298

10577212056 has 48 divisors (see below), whose sum is σ = 28684407960. Its totient is φ = 3521086080.

The previous prime is 10577212001. The next prime is 10577212057. The reversal of 10577212056 is 65021277501.

10577212056 is a `hidden beast` number, since 10 + 577 + 2 + 1 + 20 + 56 = 666.

It is a super-2 number, since 2×105772120562 (a number of 21 digits) contains 22 as substring.

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 10577212056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10577212057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41730 + ... + 151313.

Almost surely, 210577212056 is an apocalyptic number.

It is an amenable number.

10577212056 is an abundant number, since it is smaller than the sum of its proper divisors (18107195904).

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

10577212056 is a wasteful number, since it uses less digits than its factorization.

10577212056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193816 (or 193809 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

Adding to 10577212056 its reverse (65021277501), we get a palindrome (75598489557).

The spelling of 10577212056 in words is "ten billion, five hundred seventy-seven million, two hundred twelve thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 761 1522 2283 3044 4566 6088 6849 9132 13698 18264 27396 54792 193043 386086 579129 772172 1158258 1544344 1737387 2316516 3474774 4633032 6949548 13899096 146905723 293811446 440717169 587622892 881434338 1175245784 1322151507 1762868676 2644303014 3525737352 5288606028 10577212056