Base | Representation |
---|---|
bin | 110001010111111001… |
… | …011011011000000000 |
3 | 12001211122201110000000 |
4 | 301113321123120000 |
5 | 1332033123422210 |
6 | 40204320000000 |
7 | 3554512641105 |
oct | 612771333000 |
9 | 161748643000 |
10 | 53014279680 |
11 | 205351a6a8a |
12 | a336460000 |
13 | 4ccb3b3a7b |
14 | 27ccbb2aac |
15 | 15a4309ac0 |
hex | c57e5b600 |
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".
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