Search a number
-
+
13385512724436 = 22323131187922677
BaseRepresentation
bin1100001011001000111010…
…1110110010011111010100
31202101122100101201001021200
43002302032232302133110
53223302012224140221
644245115240112500
72551033324604406
oct302621656623724
952348311631250
1013385512724436
1142a0844a78586
121602251165730
1376132ca69448
14343c1010cb76
151832c4299426
hexc2c8ebb27d4

13385512724436 has 36 divisors (see below), whose sum is σ = 33943702601172. Its totient is φ = 4447582498944.

The previous prime is 13385512724407. The next prime is 13385512724453. The reversal of 13385512724436 is 63442721558331.

13385512724436 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 551 + 27 + 24 + 43 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6870920107536 + 6514592616900 = 2621244^2 + 2552370^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 593950071 + ... + 593972606.

Almost surely, 213385512724436 is an apocalyptic number.

It is an amenable number.

13385512724436 is an abundant number, since it is smaller than the sum of its proper divisors (20558189876736).

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

13385512724436 is a wasteful number, since it uses less digits than its factorization.

13385512724436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187923000 (or 1187922995 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 13385512724436 in words is "thirteen trillion, three hundred eighty-five billion, five hundred twelve million, seven hundred twenty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 313 626 939 1252 1878 2817 3756 5634 11268 1187922677 2375845354 3563768031 4751690708 7127536062 10691304093 14255072124 21382608186 42765216372 371819797901 743639595802 1115459393703 1487279191604 2230918787406 3346378181109 4461837574812 6692756362218 13385512724436