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55737878976 = 2633133180039
BaseRepresentation
bin110011111010001111…
…001000100111000000
312022212110122121212000
4303322033020213000
51403122344111401
641334452104000
74012144103613
oct637217104700
9168773577760
1055737878976
112170264149a
12a976605000
135343740ca0
1429aa7ca17a
1516b34a2186
hexcfa3c89c0

55737878976 has 224 divisors, whose sum is σ = 182158233600. Its totient is φ = 16596679680.

The previous prime is 55737878969. The next prime is 55737879019. The reversal of 55737878976 is 67987873755.

It is a super-2 number, since 2×557378789762 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656365 + ... + 736403.

It is an arithmetic number, because the mean of its divisors is an integer number (813206400).

Almost surely, 255737878976 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 55737878976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91079116800).

55737878976 is an abundant number, since it is smaller than the sum of its proper divisors (126420354624).

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

55737878976 is a wasteful number, since it uses less digits than its factorization.

55737878976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80104 (or 80088 counting only the distinct ones).

The product of its digits is 622339200, while the sum is 72.

The spelling of 55737878976 in words is "fifty-five billion, seven hundred thirty-seven million, eight hundred seventy-eight thousand, nine hundred seventy-six".