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11631322656 = 25344487393
BaseRepresentation
bin10101101010100011…
…11110011000100000
31010000121101102010000
422311101332120200
5142310104311111
65202055340000
7561143416452
oct126521763040
933017342100
1011631322656
114a2963a958
122307381600
13113496c255
147c4a8c2d2
154811e7c56
hex2b547e620

11631322656 has 60 divisors (see below), whose sum is σ = 34207404462. Its totient is φ = 3877106688.

The previous prime is 11631322649. The next prime is 11631322669. The reversal of 11631322656 is 65622313611.

11631322656 is a `hidden beast` number, since 11 + 631 + 3 + 2 + 2 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11625152400 + 6170256 = 107820^2 + 2484^2 .

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 11631322656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2241105 + ... + 2246288.

Almost surely, 211631322656 is an apocalyptic number.

11631322656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11631322656 is an abundant number, since it is smaller than the sum of its proper divisors (22576081806).

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

11631322656 is an equidigital number, since it uses as much as digits as its factorization.

11631322656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4487415 (or 4487398 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The spelling of 11631322656 in words is "eleven billion, six hundred thirty-one million, three hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 4487393 8974786 13462179 17949572 26924358 35899144 40386537 53848716 71798288 80773074 107697432 121159611 143596576 161546148 215394864 242319222 323092296 363478833 430789728 484638444 646184592 726957666 969276888 1292369184 1453915332 1938553776 2907830664 3877107552 5815661328 11631322656