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55056062880 = 253757213219
BaseRepresentation
bin110011010001100110…
…001101100110100000
312021002221200210000000
4303101212031212200
51400223323003010
641143054300000
73656224545600
oct632146154640
9167087623000
1055056062880
1121392791a15
12a8061b7600
1352653ca500
142944026c00
1516736c27c0
hexcd198d9a0

55056062880 has 1728 divisors, whose sum is σ = 258655420800. Its totient is φ = 11004844032.

The previous prime is 55056062857. The next prime is 55056062947. The reversal of 55056062880 is 8826065055.

55056062880 is a `hidden beast` number, since 5 + 5 + 0 + 560 + 6 + 2 + 8 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2897687511 + ... + 2897687529.

It is an arithmetic number, because the mean of its divisors is an integer number (149684850).

Almost surely, 255056062880 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 55056062880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129327710400).

55056062880 is an abundant number, since it is smaller than the sum of its proper divisors (203599357920).

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

55056062880 is a wasteful number, since it uses less digits than its factorization.

55056062880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 55056062880 in words is "fifty-five billion, fifty-six million, sixty-two thousand, eight hundred eighty".