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53074060704 = 2533721965981
BaseRepresentation
bin110001011011011101…
…011110010110100000
312001222211012122011000
4301123131132112200
51332143424420304
640214253152000
73556140033600
oct613335362640
9161884178130
1053074060704
1120565a18395
12a35248b600
13500a8b5162
1427d6ad4c00
1515a96b7939
hexc5b75e5a0

53074060704 has 288 divisors, whose sum is σ = 189553089600. Its totient is φ = 14365693440.

The previous prime is 53074060661. The next prime is 53074060759. The reversal of 53074060704 is 40706047035.

53074060704 is a `hidden beast` number, since 5 + 3 + 0 + 7 + 40 + 607 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×530740607042 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 771394 + ... + 837374.

It is an arithmetic number, because the mean of its divisors is an integer number (658170450).

Almost surely, 253074060704 is an apocalyptic number.

53074060704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53074060704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94776544800).

53074060704 is an abundant number, since it is smaller than the sum of its proper divisors (136479028896).

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

53074060704 is a wasteful number, since it uses less digits than its factorization.

53074060704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66033 (or 66012 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 53074060704 in words is "fifty-three billion, seventy-four million, sixty thousand, seven hundred four".