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55023514560 = 26325723532239
BaseRepresentation
bin110011001111101010…
…000011001111000000
312021000200110011002200
4303033222003033000
51400142004431220
641135532513200
73655351104540
oct631752031700
9167020404080
1055023514560
1121376380983
12a7b731b800
13525b742651
14293d993320
1516708e3890
hexccfa833c0

55023514560 has 672 divisors, whose sum is σ = 230060113920. Its totient is φ = 11797733376.

The previous prime is 55023514549. The next prime is 55023514561. The reversal of 55023514560 is 6541532055.

55023514560 is a `hidden beast` number, since 5 + 50 + 2 + 35 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55023514561) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 24573921 + ... + 24576159.

It is an arithmetic number, because the mean of its divisors is an integer number (342351360).

Almost surely, 255023514560 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 55023514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115030056960).

55023514560 is an abundant number, since it is smaller than the sum of its proper divisors (175036599360).

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

55023514560 is a wasteful number, since it uses less digits than its factorization.

55023514560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 55023514560 in words is "fifty-five billion, twenty-three million, five hundred fourteen thousand, five hundred sixty".