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55115376624 = 243271119431607
BaseRepresentation
bin110011010101001000…
…011110011111110000
312021021002022020011100
4303111020132133300
51400334014022444
641153013444400
73660544654140
oct632510363760
9167232266140
1055115376624
1121413214240
12a822040700
135274796cb9
14294bc66920
1516789dbe69
hexcd521e7f0

55115376624 has 480 divisors, whose sum is σ = 203232706560. Its totient is φ = 13508467200.

The previous prime is 55115376599. The next prime is 55115376649. The reversal of 55115376624 is 42667351155.

55115376624 is a `hidden beast` number, since 5 + 5 + 1 + 15 + 3 + 7 + 6 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (55115376599) and next prime (55115376649).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (756000) is a multiple of the sum of its prime divisors (1080).

It is a self number, because there is not a number n which added to its sum of digits gives 55115376624.

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, 90799329 + ... + 90799935.

It is an arithmetic number, because the mean of its divisors is an integer number (423401472).

Almost surely, 255115376624 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 55115376624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101616353280).

55115376624 is an abundant number, since it is smaller than the sum of its proper divisors (148117329936).

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

55115376624 is a wasteful number, since it uses less digits than its factorization.

55115376624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1080 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The spelling of 55115376624 in words is "fifty-five billion, one hundred fifteen million, three hundred seventy-six thousand, six hundred twenty-four".