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56278104960 = 27357111013769
BaseRepresentation
bin110100011010011011…
…111011101110000000
312101021010011221120210
4310122123323232000
51410224143324320
641504231034120
74031423666520
oct643233735600
9171233157523
1056278104960
112195a583250
12aaa750b940
1353cb63b72c
142a1c453680
1516e5b140e0
hexd1a6fbb80

56278104960 has 512 divisors, whose sum is σ = 225924940800. Its totient is φ = 11575296000.

The previous prime is 56278104943. The next prime is 56278104997. The reversal of 56278104960 is 6940187265.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14929956 + ... + 14933724.

It is an arithmetic number, because the mean of its divisors is an integer number (441259650).

Almost surely, 256278104960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56278104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112962470400).

56278104960 is an abundant number, since it is smaller than the sum of its proper divisors (169646835840).

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

56278104960 is a wasteful number, since it uses less digits than its factorization.

56278104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910 (or 3898 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 56278104960 in words is "fifty-six billion, two hundred seventy-eight million, one hundred four thousand, nine hundred sixty".