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56746309932 = 2232132989109431
BaseRepresentation
bin110100110110010101…
…111111100100101100
312102110202012020001200
4310312111333210230
51412204023404212
642022514205500
74046140450554
oct646625774454
9172422166050
1056746309932
112207a8a3604
12abb8283890
1354746407b0
142a646d0164
151721c9b6dc
hexd3657f92c

56746309932 has 288 divisors, whose sum is σ = 163459296000. Its totient is φ = 16477655040.

The previous prime is 56746309831. The next prime is 56746309957. The reversal of 56746309932 is 23990364765.

56746309932 is a `hidden beast` number, since 5 + 67 + 463 + 0 + 99 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131661757 + ... + 131662187.

It is an arithmetic number, because the mean of its divisors is an integer number (567567000).

Almost surely, 256746309932 is an apocalyptic number.

56746309932 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56746309932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81729648000).

56746309932 is an abundant number, since it is smaller than the sum of its proper divisors (106712986068).

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

56746309932 is a wasteful number, since it uses less digits than its factorization.

56746309932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 56746309932 in words is "fifty-six billion, seven hundred forty-six million, three hundred nine thousand, nine hundred thirty-two".