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53127728640 = 293257247059
BaseRepresentation
bin110001011110101010…
…001100111000000000
312002010120012020201100
4301132222030320000
51332301144304030
640223451334400
73560361146100
oct613652147000
9162116166640
1053127728640
1120593243958
12a368451400
135018a55c2c
1427ddca5200
1515ae269360
hexc5ea8ce00

53127728640 has 360 divisors, whose sum is σ = 214041021480. Its totient is φ = 12143222784.

The previous prime is 53127728611. The next prime is 53127728657. The reversal of 53127728640 is 4682772135.

53127728640 is a `hidden beast` number, since 531 + 2 + 7 + 72 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1105431 + ... + 1152489.

It is an arithmetic number, because the mean of its divisors is an integer number (594558393).

Almost surely, 253127728640 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 53127728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107020510740).

53127728640 is an abundant number, since it is smaller than the sum of its proper divisors (160913292840).

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

53127728640 is a wasteful number, since it uses less digits than its factorization.

53127728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47102 (or 47076 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 53127728640 in words is "fifty-three billion, one hundred twenty-seven million, seven hundred twenty-eight thousand, six hundred forty".