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55564060320 = 25335293711987
BaseRepresentation
bin110011101111111000…
…000100011010100000
312022102100120201111000
4303233320010122200
51402243344412240
641305322352000
74004633501646
oct635770043240
9168370521430
1055564060320
1121623510a0a
12a92835b600
135316722802
1429916a1196
1516a30ba430
hexcefe046a0

55564060320 has 384 divisors, whose sum is σ = 206634758400. Its totient is φ = 13918334976.

The previous prime is 55564060319. The next prime is 55564060327. The reversal of 55564060320 is 2306046555.

It is a happy number.

55564060320 is a `hidden beast` number, since 5 + 5 + 5 + 6 + 40 + 603 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (55564060327) 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 63 ways as a sum of consecutive naturals, for example, 4629367 + ... + 4641353.

It is an arithmetic number, because the mean of its divisors is an integer number (538111350).

Almost surely, 255564060320 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 55564060320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103317379200).

55564060320 is an abundant number, since it is smaller than the sum of its proper divisors (151070698080).

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

55564060320 is a wasteful number, since it uses less digits than its factorization.

55564060320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12077 (or 12063 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 55564060320 in words is "fifty-five billion, five hundred sixty-four million, sixty thousand, three hundred twenty".