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56062406880 = 2534517793221
BaseRepresentation
bin110100001101100101…
…000111000011100000
312100201002022100110000
4310031211013003200
51404303434010010
641431003540000
74023164411244
oct641545070340
9170632270400
1056062406880
1121859849077
12aa4722a600
135395a4912c
1429db946424
1516d1c087c0
hexd0d9470e0

56062406880 has 480 divisors, whose sum is σ = 212209683840. Its totient is φ = 13888143360.

The previous prime is 56062406861. The next prime is 56062406887. The reversal of 56062406880 is 8860426065.

56062406880 is a `hidden beast` number, since 560 + 6 + 2 + 4 + 0 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56062406887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17403670 + ... + 17406890.

It is an arithmetic number, because the mean of its divisors is an integer number (442103508).

Almost surely, 256062406880 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 56062406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106104841920).

56062406880 is an abundant number, since it is smaller than the sum of its proper divisors (156147276960).

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

56062406880 is a wasteful number, since it uses less digits than its factorization.

56062406880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 56062406880 in words is "fifty-six billion, sixty-two million, four hundred six thousand, eight hundred eighty".