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56878609536 = 2736731532
BaseRepresentation
bin110100111110001110…
…101011010010000000
312102210222010202000000
4310332032223102000
51412441411001121
642044002000000
74052335126650
oct647616532200
9172728122000
1056878609536
1122138546221
12b034646000
135495b82b98
142a780cc360
15172d6d1526
hexd3e3ab480

56878609536 has 672 divisors, whose sum is σ = 204278027520. Its totient is φ = 15430072320.

The previous prime is 56878609517. The next prime is 56878609547. The reversal of 56878609536 is 63590687865.

56878609536 is a `hidden beast` number, since 568 + 7 + 8 + 60 + 9 + 5 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1073181286 + ... + 1073181338.

It is an arithmetic number, because the mean of its divisors is an integer number (303985160).

Almost surely, 256878609536 is an apocalyptic number.

56878609536 is a gapful number since it is divisible by the number (56) 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 56878609536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102139013760).

56878609536 is an abundant number, since it is smaller than the sum of its proper divisors (147399417984).

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

56878609536 is an frugal number, since it uses more digits than its factorization.

56878609536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 56878609536 in words is "fifty-six billion, eight hundred seventy-eight million, six hundred nine thousand, five hundred thirty-six".