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55616335488 = 27327192912517
BaseRepresentation
bin110011110010111111…
…011110111010000000
312022112222221120112100
4303302333132322000
51402400240213423
641314431030400
74006140023460
oct636277367200
9168488846470
1055616335488
112164aa7602a
12a94196b400
1353244c666c
1429985cbba0
1516a7994343
hexcf2fdee80

55616335488 has 384 divisors, whose sum is σ = 199186416000. Its totient is φ = 14533779456.

The previous prime is 55616335471. The next prime is 55616335519. The reversal of 55616335488 is 88453361655.

It is a happy number.

55616335488 is a `hidden beast` number, since 5 + 5 + 61 + 6 + 33 + 548 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×556163354882 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4437006 + ... + 4449522.

It is an arithmetic number, because the mean of its divisors is an integer number (518714625).

Almost surely, 255616335488 is an apocalyptic number.

55616335488 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55616335488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99593208000).

55616335488 is an abundant number, since it is smaller than the sum of its proper divisors (143570080512).

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

55616335488 is a wasteful number, since it uses less digits than its factorization.

55616335488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12592 (or 12577 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 55616335488 in words is "fifty-five billion, six hundred sixteen million, three hundred thirty-five thousand, four hundred eighty-eight".