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52678512324 = 22344123112
BaseRepresentation
bin110001000011111000…
…100100111011000100
312000222020220200210000
4301003320210323010
51330341144343244
640111123201300
73543264652404
oct610370447304
9160866820700
1052678512324
1120382712aa9
12a261b16230
134c76971b69
14279a36c804
151584ad3169
hexc43e24ec4

52678512324 has 135 divisors (see below), whose sum is σ = 141608116573. Its totient is φ = 17076139200.

The previous prime is 52678512311. The next prime is 52678512343. The reversal of 52678512324 is 42321587625.

The square root of 52678512324 is 229518.

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

52678512324 is a `hidden beast` number, since 52 + 67 + 8 + 512 + 3 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2538345924 + 50140166400 = 50382^2 + 223920^2 .

It is a Duffinian number.

Its product of digits (806400) is a multiple of the sum of its prime factors (720).

It is a self number, because there is not a number n which added to its sum of digits gives 52678512324.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 169384129 + ... + 169384439.

Almost surely, 252678512324 is an apocalyptic number.

52678512324 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

52678512324 is the 229518-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52678512324

52678512324 is an abundant number, since it is smaller than the sum of its proper divisors (88929604249).

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

52678512324 is an equidigital number, since it uses as much as digits as its factorization.

52678512324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 357 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 52678512324 in words is "fifty-two billion, six hundred seventy-eight million, five hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 311 324 369 492 622 738 933 1107 1244 1476 1681 1866 2214 2799 3321 3362 3732 4428 5043 5598 6642 6724 8397 10086 11196 12751 13284 15129 16794 20172 25191 25502 30258 33588 38253 45387 50382 51004 60516 76506 90774 96721 100764 114759 136161 153012 181548 193442 229518 272322 290163 344277 386884 459036 522791 544644 580326 688554 870489 1032831 1045582 1160652 1377108 1568373 1740978 2065662 2091164 2611467 3136746 3481956 3965561 4131324 4705119 5222934 6273492 7834401 7931122 9410238 10445868 11896683 14115357 15668802 15862244 18820476 23793366 28230714 31337604 35690049 42346071 47586732 56461428 71380098 84692142 107070147 142760196 162588001 169384284 214140294 321210441 325176002 428280588 487764003 642420882 650352004 975528006 1284841764 1463292009 1951056012 2926584018 4389876027 5853168036 8779752054 13169628081 17559504108 26339256162 52678512324