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55978637624 = 237213313761157
BaseRepresentation
bin110100001000100101…
…100011100100111000
312100111020200102121222
4310020211203210320
51404121012400444
641414412251212
74021126366100
oct641045434470
9170436612558
1055978637624
1121816532a88
12aa23170b08
135381599220
1429d077c200
1516c96aceee
hexd08963938

55978637624 has 384 divisors, whose sum is σ = 142585873920. Its totient is φ = 20379340800.

The previous prime is 55978637591. The next prime is 55978637651. The reversal of 55978637624 is 42673687955.

It is a super-4 number, since 4×559786376244 (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 356551754 + ... + 356551910.

It is an arithmetic number, because the mean of its divisors is an integer number (371317380).

Almost surely, 255978637624 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 55978637624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71292936960).

55978637624 is an abundant number, since it is smaller than the sum of its proper divisors (86607236296).

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

55978637624 is a wasteful number, since it uses less digits than its factorization.

55978637624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 308 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 62.

The spelling of 55978637624 in words is "fifty-five billion, nine hundred seventy-eight million, six hundred thirty-seven thousand, six hundred twenty-four".