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11552656656 = 243240680347
BaseRepresentation
bin10101100001001011…
…11000110100010000
31002211010100202122110
422300211320310100
5142124440003111
65150205305320
7556166650512
oct126045706420
932733322573
1011552656656
11499919aa32
1222a4b65240
131121588118
147b8451bb2
154793595a6
hex2b0978d10

11552656656 has 20 divisors (see below), whose sum is σ = 29844363152. Its totient is φ = 3850885536.

The previous prime is 11552656627. The next prime is 11552656681. The reversal of 11552656656 is 65665625511.

It is a super-2 number, since 2×115526566562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 240680347 = 11552656656 / (1 + 1 + 5 + 5 + 2 + 6 + 5 + 6 + 6 + 5 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120340126 + ... + 120340221.

Almost surely, 211552656656 is an apocalyptic number.

11552656656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11552656656 is an abundant number, since it is smaller than the sum of its proper divisors (18291706496).

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

11552656656 is a wasteful number, since it uses less digits than its factorization.

11552656656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240680358 (or 240680352 counting only the distinct ones).

The product of its digits is 1620000, while the sum is 48.

The spelling of 11552656656 in words is "eleven billion, five hundred fifty-two million, six hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 240680347 481360694 722041041 962721388 1444082082 1925442776 2888164164 3850885552 5776328328 11552656656