Search a number
-
+
5112536004 = 22321727012
BaseRepresentation
bin1001100001011101…
…10001101111000100
3111012022010201221100
410300232301233010
540432302123004
62203151220100
7240456560532
oct46056615704
914168121840
105112536004
112193990a74
12ba8217630
13636271344
14366dd7152
151edc85739
hex130bb1bc4

5112536004 has 81 divisors (see below), whose sum is σ = 13747881511. Its totient is φ = 1601644800.

The previous prime is 5112535993. The next prime is 5112536057. The reversal of 5112536004 is 4006352115.

The square root of 5112536004 is 71502.

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

5112536004 is a `hidden beast` number, since 5 + 1 + 1 + 2 + 53 + 600 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2126132100 + 2986403904 = 46110^2 + 54648^2 .

It is a super-2 number, since 2×51125360042 = 52276048784392576032, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7292854 + ... + 7293554.

Almost surely, 25112536004 is an apocalyptic number.

5112536004 is the 71502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5112536004

5112536004 is an abundant number, since it is smaller than the sum of its proper divisors (8635345507).

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

5112536004 is a wasteful number, since it uses less digits than its factorization.

5112536004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The cubic root of 5112536004 is about 1722.7098086687.

Multiplying 5112536004 by its product of nonzero digits (3600), we get a square (18405129614400 = 42901202).

Adding to 5112536004 its reverse (4006352115), we get a palindrome (9118888119).

The spelling of 5112536004 in words is "five billion, one hundred twelve million, five hundred thirty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 701 867 1156 1402 1734 2103 2601 2804 3468 4206 5202 6309 8412 10404 11917 12618 23834 25236 35751 47668 71502 107253 143004 202589 214506 405178 429012 491401 607767 810356 982802 1215534 1474203 1823301 1965604 2431068 2948406 3646602 4422609 5896812 7293204 8353817 8845218 16707634 17690436 25061451 33415268 50122902 75184353 100245804 142014889 150368706 284029778 300737412 426044667 568059556 852089334 1278134001 1704178668 2556268002 5112536004