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53014279680 = 2937517557
BaseRepresentation
bin110001010111111001…
…011011011000000000
312001211122201110000000
4301113321123120000
51332033123422210
640204320000000
73554512641105
oct612771333000
9161748643000
1053014279680
11205351a6a8a
12a336460000
134ccb3b3a7b
1427ccbb2aac
1515a4309ac0
hexc57e5b600

53014279680 has 640 divisors, whose sum is σ = 202212236160. Its totient is φ = 13281656832.

The previous prime is 53014279673. The next prime is 53014279699. The reversal of 53014279680 is 8697241035.

53014279680 is a `hidden beast` number, since 530 + 1 + 4 + 27 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 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, 95177962 + ... + 95178518.

It is an arithmetic number, because the mean of its divisors is an integer number (315956619).

It is a 1-persistent number, because it is pandigital, but 2⋅53014279680 = 106028559360 is not.

Almost surely, 253014279680 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 53014279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101106118080).

53014279680 is an abundant number, since it is smaller than the sum of its proper divisors (149197956480).

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

53014279680 is an frugal number, since it uses more digits than its factorization.

53014279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 53014279680 in words is "fifty-three billion, fourteen million, two hundred seventy-nine thousand, six hundred eighty".