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54710164080 = 2432511131927967
BaseRepresentation
bin110010111100111110…
…101101101001110000
312020012211211022001100
4302330332231221300
51344021300222310
641044500404400
73644524502355
oct627476555160
9166184738040
1054710164080
1121225509040
12a72a3a6700
13520b84bc70
14291010662c
151653148ec0
hexcbcfada70

54710164080 has 480 divisors, whose sum is σ = 227225456640. Its totient is φ = 11598059520.

The previous prime is 54710164057. The next prime is 54710164081. The reversal of 54710164080 is 8046101745.

It is a happy number.

54710164080 is a `hidden beast` number, since 5 + 4 + 7 + 1 + 0 + 1 + 640 + 8 + 0 = 666.

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 (54710164081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1942257 + ... + 1970223.

It is an arithmetic number, because the mean of its divisors is an integer number (473386368).

Almost surely, 254710164080 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 54710164080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113612728320).

54710164080 is an abundant number, since it is smaller than the sum of its proper divisors (172515292560).

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

54710164080 is a wasteful number, since it uses less digits than its factorization.

54710164080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28029 (or 28020 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 54710164080 in words is "fifty-four billion, seven hundred ten million, one hundred sixty-four thousand, eighty".