Search a number
-
+
54626245560 = 23335298919597
BaseRepresentation
bin110010110111111110…
…100101101110111000
312012222222220210111000
4302313332211232320
51343333304324220
641032302005000
73642455266065
oct626776455670
9165888823430
1054626245560
1121192100897
12a706276760
1351c7349133
142902cddc6c
15164aabe390
hexcb7fa5bb8

54626245560 has 256 divisors, whose sum is σ = 190492560000. Its totient is φ = 13905948672.

The previous prime is 54626245523. The next prime is 54626245607. The reversal of 54626245560 is 6554262645.

54626245560 is a `hidden beast` number, since 5 + 4 + 62 + 6 + 24 + 5 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2777682 + ... + 2797278.

Almost surely, 254626245560 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 54626245560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95246280000).

54626245560 is an abundant number, since it is smaller than the sum of its proper divisors (135866314440).

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

54626245560 is a wasteful number, since it uses less digits than its factorization.

54626245560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19735 (or 19725 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 54626245560 in words is "fifty-four billion, six hundred twenty-six million, two hundred forty-five thousand, five hundred sixty".