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54787941936 = 243272132325969
BaseRepresentation
bin110011000001100111…
…011010011000110000
312020102021011211012200
4303001213122120300
51344201203120221
641100315423200
73646460552100
oct630147323060
9166367154180
1054787941936
1121265401762
12a750454b00
1352219b1a70
14291a591200
151659dae426
hexcc19da630

54787941936 has 360 divisors, whose sum is σ = 200443108320. Its totient is φ = 13820792832.

The previous prime is 54787941911. The next prime is 54787941941. The reversal of 54787941936 is 63914978745.

54787941936 is a `hidden beast` number, since 5 + 478 + 79 + 4 + 1 + 93 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2096760 + ... + 2122728.

It is an arithmetic number, because the mean of its divisors is an integer number (556786412).

Almost surely, 254787941936 is an apocalyptic number.

54787941936 is a gapful number since it is divisible by the number (56) 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 54787941936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100221554160).

54787941936 is an abundant number, since it is smaller than the sum of its proper divisors (145655166384).

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

54787941936 is a wasteful number, since it uses less digits than its factorization.

54787941936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26033 (or 26017 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 54787941936 in words is "fifty-four billion, seven hundred eighty-seven million, nine hundred forty-one thousand, nine hundred thirty-six".