Search a number
-
+
13199252544 = 263247872
BaseRepresentation
bin11000100101011110…
…01001110001000000
31021001212201111120100
430102233021301000
5204013002040134
610021425442400
7645042536562
oct142257116100
937055644510
1013199252544
1156636a7885
1226844a0400
131324756a0a
148d2dd5332
15523bae999
hex312bc9c40

13199252544 has 63 divisors (see below), whose sum is σ = 37841179207. Its totient is φ = 4398831744.

The previous prime is 13199252527. The next prime is 13199252579. The reversal of 13199252544 is 44525299131.

It is a happy number.

The square root of 13199252544 is 114888.

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

13199252544 is a `hidden beast` number, since 1 + 3 + 19 + 92 + 5 + 2 + 544 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13199252544.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2754919 + ... + 2759705.

Almost surely, 213199252544 is an apocalyptic number.

13199252544 is the 114888-th square number.

It is an amenable number.

13199252544 is an abundant number, since it is smaller than the sum of its proper divisors (24641926663).

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

13199252544 is an frugal number, since it uses more digits than its factorization.

13199252544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9592 (or 4792 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 13199252544 in words is "thirteen billion, one hundred ninety-nine million, two hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4787 9574 14361 19148 28722 38296 43083 57444 76592 86166 114888 153184 172332 229776 306368 344664 459552 689328 919104 1378656 2757312 22915369 45830738 68746107 91661476 137492214 183322952 206238321 274984428 366645904 412476642 549968856 733291808 824953284 1099937712 1466583616 1649906568 2199875424 3299813136 4399750848 6599626272 13199252544