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55651115520 = 293257111319127
BaseRepresentation
bin110011110101000100…
…001010001000000000
312022122102101120202200
4303311010022020000
51402433141144040
641322112313200
74010041451130
oct636504121000
9168572346680
1055651115520
1121668670860
12a951542800
13532b783270
14299d082ac0
1516aaa64630
hexcf510a200

55651115520 has 1920 divisors, whose sum is σ = 274542428160. Its totient is φ = 10032906240.

The previous prime is 55651115519. The next prime is 55651115549. The reversal of 55651115520 is 2551115655.

55651115520 is a `hidden beast` number, since 5 + 56 + 51 + 1 + 1 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 438197697 + ... + 438197823.

It is an arithmetic number, because the mean of its divisors is an integer number (142990848).

Almost surely, 255651115520 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 55651115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137271214080).

55651115520 is an abundant number, since it is smaller than the sum of its proper divisors (218891312640).

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

55651115520 is a wasteful number, since it uses less digits than its factorization.

55651115520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 36.

It can be divided in two parts, 55651 and 115520, that added together give a palindrome (171171).

The spelling of 55651115520 in words is "fifty-five billion, six hundred fifty-one million, one hundred fifteen thousand, five hundred twenty".