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56143885680 = 2432543109127131
BaseRepresentation
bin110100010010011011…
…111011010101110000
312100220202121220100100
4310102123323111300
51404440313320210
641443034152400
74025204103621
oct642233732560
9170822556310
1056143885680
11218a083a323
12aa6a582700
1353a98a663c
142a086b5a48
1516d8e505c0
hexd126fb570

56143885680 has 480 divisors, whose sum is σ = 197735915520. Its totient is φ = 14265538560.

The previous prime is 56143885667. The next prime is 56143885691. The reversal of 56143885680 is 8658834165.

56143885680 is a `hidden beast` number, since 56 + 1 + 438 + 85 + 6 + 80 = 666.

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 95 ways as a sum of consecutive naturals, for example, 428579215 + ... + 428579345.

It is an arithmetic number, because the mean of its divisors is an integer number (411949824).

Almost surely, 256143885680 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 56143885680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98867957760).

56143885680 is an abundant number, since it is smaller than the sum of its proper divisors (141592029840).

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

56143885680 is a wasteful number, since it uses less digits than its factorization.

56143885680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 56143885680 in words is "fifty-six billion, one hundred forty-three million, eight hundred eighty-five thousand, six hundred eighty".