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53012299536 = 24327227412
BaseRepresentation
bin110001010111110001…
…110111111100010000
312001211111222211202100
4301113301313330100
51332032122041121
640204205320400
73554460053100
oct612761677420
9161744884670
1053012299536
11205340742a9
12a335866100
134ccab6c6a1
1427cc819200
1515a4068026
hexc57c77f10

53012299536 has 135 divisors (see below), whose sum is σ = 172645970133. Its totient is φ = 15140845440.

The previous prime is 53012299531. The next prime is 53012299591. The reversal of 53012299536 is 63599221035.

The square root of 53012299536 is 230244.

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

53012299536 is a `hidden beast` number, since 5 + 3 + 0 + 1 + 22 + 99 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15686059536 + 37326240000 = 125244^2 + 193200^2 .

It is a junction number, because it is equal to n+sod(n) for n = 53012299491 and 53012299500.

It is not an unprimeable number, because it can be changed into a prime (53012299531) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19339126 + ... + 19341866.

Almost surely, 253012299536 is an apocalyptic number.

53012299536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

53012299536 is the 230244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53012299536

53012299536 is an abundant number, since it is smaller than the sum of its proper divisors (119633670597).

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

53012299536 is an equidigital number, since it uses as much as digits as its factorization.

53012299536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 53012299536 in words is "fifty-three billion, twelve million, two hundred ninety-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 2741 3528 5482 7056 8223 10964 16446 19187 21928 24669 32892 38374 43856 49338 57561 65784 76748 98676 115122 131568 134309 153496 172683 197352 230244 268618 306992 345366 394704 402927 460488 537236 690732 805854 920976 1074472 1208781 1381464 1611708 2148944 2417562 2762928 3223416 4835124 6446832 7513081 9670248 15026162 19340496 22539243 30052324 45078486 52591567 60104648 67617729 90156972 105183134 120209296 135235458 157774701 180313944 210366268 270470916 315549402 360627888 368140969 420732536 473324103 540941832 631098804 736281938 841465072 946648206 1081883664 1104422907 1262197608 1472563876 1893296412 2208845814 2524395216 2945127752 3313268721 3786592824 4417691628 5890255504 6626537442 7573185648 8835383256 13253074884 17670766512 26506149768 53012299536