Search a number
-
+
5208062565924 = 2232311212232
BaseRepresentation
bin100101111001001100010…
…1110000001111000100100
3200102212220211112121010100
41023302120232001320210
51140312103004102144
615024314555224100
71045161434251221
oct113623056017044
920385824477110
105208062565924
1117287aa5a9889
12701435748030
132ba16c8913ba
1414010057a948
15907188ee269
hex4bc98b81e24

5208062565924 has 81 divisors (see below), whose sum is σ = 13218099480859. Its totient is φ = 1729023881520.

The previous prime is 5208062565887. The next prime is 5208062565929. The reversal of 5208062565924 is 4295652608025.

It is a happy number.

The square root of 5208062565924 is 2282118.

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

5208062565924 is a `hidden beast` number, since 5 + 2 + 0 + 8 + 0 + 625 + 6 + 5 + 9 + 2 + 4 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5208062565929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4258431577 + ... + 4258432799.

Almost surely, 25208062565924 is an apocalyptic number.

5208062565924 is the 2282118-th square number.

It is an amenable number.

5208062565924 is an abundant number, since it is smaller than the sum of its proper divisors (8010036914935).

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

5208062565924 is an equidigital number, since it uses as much as digits as its factorization.

5208062565924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 5208062565924 in words is "five trillion, two hundred eight billion, sixty-two million, five hundred sixty-five thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 311 622 933 1223 1244 1866 2446 2799 3669 3732 4892 5598 7338 11007 11196 14676 22014 44028 96721 193442 290163 380353 386884 580326 760706 870489 1141059 1160652 1495729 1521412 1740978 2282118 2991458 3423177 3481956 4487187 4564236 5982916 6846354 8974374 13461561 13692708 17948748 26923122 53846244 118289783 236579566 354869349 465171719 473159132 709738698 930343438 1064608047 1395515157 1419477396 1860686876 2129216094 2791030314 4186545471 4258432188 5582060628 8373090942 16746181884 144668404609 289336809218 434005213827 578673618436 868010427654 1302015641481 1736020855308 2604031282962 5208062565924