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59422597920 = 253657237281
BaseRepresentation
bin110111010101110111…
…001110001100100000
312200101021002202000000
4313111313032030200
51433144141113140
643144240300000
74202355514500
oct672567161440
9180337082000
1059422597920
1123223564364
12b624611600
1357acc4435a
142c39d0da00
15182bbeaa30
hexdd5dce320

59422597920 has 1008 divisors, whose sum is σ = 252359421048. Its totient is φ = 13168189440.

The previous prime is 59422597901. The next prime is 59422597921. The reversal of 59422597920 is 2979522495.

59422597920 is a `hidden beast` number, since 5 + 9 + 4 + 22 + 597 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58160074896 + 1262523024 = 241164^2 + 35532^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (59422597921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 211468180 + ... + 211468460.

Almost surely, 259422597920 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 59422597920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126179710524).

59422597920 is an abundant number, since it is smaller than the sum of its proper divisors (192936823128).

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

59422597920 is a wasteful number, since it uses less digits than its factorization.

59422597920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 59422597920 in words is "fifty-nine billion, four hundred twenty-two million, five hundred ninety-seven thousand, nine hundred twenty".