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5136831865764 = 223249927572
BaseRepresentation
bin100101011000000001100…
…0010011110001110100100
3200012002001122102010000100
41022300003002132032210
51133130212424201024
614531454502144100
71040060324300364
oct112600302361644
920162048363010
105136831865764
111700577742545
126ab676722030
132b352a493a01
1413a8a43229a4
158d94a23b7c9
hex4ac0309e3a4

5136831865764 has 81 divisors (see below), whose sum is σ = 13028053247937. Its totient is φ = 1706588479008.

The previous prime is 5136831865699. The next prime is 5136831865871. The reversal of 5136831865764 is 4675681386315.

The square root of 5136831865764 is 2266458.

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

5136831865764 is a `hidden beast` number, since 51 + 3 + 6 + 8 + 3 + 1 + 8 + 6 + 576 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3173492844900 + 1963339020864 = 1781430^2 + 1401192^2 .

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 26 ways as a sum of consecutive naturals, for example, 6785774874 + ... + 6785775630.

Almost surely, 25136831865764 is an apocalyptic number.

5136831865764 is the 2266458-th square number.

It is an amenable number.

5136831865764 is an abundant number, since it is smaller than the sum of its proper divisors (7891221382173).

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

5136831865764 is an frugal number, since it uses more digits than its factorization.

5136831865764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 1261 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 5136831865764 in words is "five trillion, one hundred thirty-six billion, eight hundred thirty-one million, eight hundred sixty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 499 757 998 1497 1514 1996 2271 2994 3028 4491 4542 5988 6813 8982 9084 13626 17964 27252 249001 377743 498002 573049 747003 755486 996004 1133229 1146098 1494006 1510972 1719147 2241009 2266458 2292196 2988012 3399687 3438294 4482018 4532916 5157441 6799374 6876588 8964036 10314882 13598748 20629764 188493757 285951451 376987514 565481271 571902902 753975028 857854353 1130962542 1143805804 1696443813 1715708706 2261925084 2573563059 3392887626 3431417412 5147126118 6785775252 10294252236 142689774049 285379548098 428069322147 570759096196 856138644294 1284207966441 1712277288588 2568415932882 5136831865764