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52157306304 = 2632731240423
BaseRepresentation
bin110000100100110100…
…010101010111000000
311222121221011200112100
4300210310111113000
51323304232300204
635543304030400
73524335534335
oct604464252700
9158557150470
1052157306304
1120135492224
12a137462400
134bc29a372c
14274b05698c
151553e7ba39
hexc24d155c0

52157306304 has 84 divisors (see below), whose sum is σ = 151547561776. Its totient is φ = 17147593728.

The previous prime is 52157306203. The next prime is 52157306309. The reversal of 52157306304 is 40360375125.

52157306304 is a `hidden beast` number, since 5 + 2 + 15 + 7 + 3 + 0 + 630 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52157306309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 578164 + ... + 662259.

Almost surely, 252157306304 is an apocalyptic number.

It is an amenable number.

52157306304 is an abundant number, since it is smaller than the sum of its proper divisors (99390255472).

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

52157306304 is a wasteful number, since it uses less digits than its factorization.

52157306304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240514 (or 1240501 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 52157306304 in words is "fifty-two billion, one hundred fifty-seven million, three hundred six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 144 146 192 219 288 292 438 576 584 657 876 1168 1314 1752 2336 2628 3504 4672 5256 7008 10512 14016 21024 42048 1240423 2480846 3721269 4961692 7442538 9923384 11163807 14885076 19846768 22327614 29770152 39693536 44655228 59540304 79387072 89310456 90550879 119080608 178620912 181101758 238161216 271652637 357241824 362203516 543305274 714483648 724407032 814957911 1086610548 1448814064 1629915822 2173221096 2897628128 3259831644 4346442192 5795256256 6519663288 8692884384 13039326576 17385768768 26078653152 52157306304