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53913124864 = 2169072
BaseRepresentation
bin110010001101011110…
…010000000000000000
312011011022001111210101
4302031132100000000
51340403224443424
640433425212144
73616006000024
oct621536200000
9164138044711
1053913124864
112095660a745
12a547491054
135112694921
14287630c384
1516081a9344
hexc8d790000

53913124864 has 51 divisors (see below), whose sum is σ = 107944439547. Its totient is φ = 26926841856.

The previous prime is 53913124823. The next prime is 53913124921. The reversal of 53913124864 is 46842131935.

It is a happy number.

The square root of 53913124864 is 232192.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 59440699 + ... + 59441605.

Almost surely, 253913124864 is an apocalyptic number.

53913124864 is the 232192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53913124864

53913124864 is an abundant number, since it is smaller than the sum of its proper divisors (54031314683).

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

53913124864 is an frugal number, since it uses more digits than its factorization.

53913124864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 909 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The spelling of 53913124864 in words is "fifty-three billion, nine hundred thirteen million, one hundred twenty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 907 1024 1814 2048 3628 4096 7256 8192 14512 16384 29024 32768 58048 65536 116096 232192 464384 822649 928768 1645298 1857536 3290596 3715072 6581192 7430144 13162384 14860288 26324768 29720576 52649536 59441152 105299072 210598144 421196288 842392576 1684785152 3369570304 6739140608 13478281216 26956562432 53913124864