Search a number
-
+
13137611240 = 2351333617517
BaseRepresentation
bin11000011110001000…
…00000100111101000
31020220120201210121002
430033010000213220
5203401212024430
610011344334132
7643363565405
oct141704004750
936816653532
1013137611240
115631925856
122667914348
131314a53980
148c8b4b2ac
1551d585845
hex30f1009e8

13137611240 has 64 divisors (see below), whose sum is σ = 31847150160. Its totient is φ = 4848721920.

The previous prime is 13137611219. The next prime is 13137611257. The reversal of 13137611240 is 4211673131.

It can be written as a sum of positive squares in 8 ways, for example, as 8260264996 + 4877346244 = 90886^2 + 69838^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1743962 + ... + 1751478.

Almost surely, 213137611240 is an apocalyptic number.

13137611240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13137611240 is an abundant number, since it is smaller than the sum of its proper divisors (18709538920).

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

13137611240 is a wasteful number, since it uses less digits than its factorization.

13137611240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10902 (or 10898 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The spelling of 13137611240 in words is "thirteen billion, one hundred thirty-seven million, six hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 3361 6722 7517 13444 15034 16805 26888 30068 33610 37585 43693 60136 67220 75170 87386 97721 134440 150340 174772 195442 218465 300680 349544 390884 436930 488605 781768 873860 977210 1747720 1954420 3908840 25264637 50529274 101058548 126323185 202117096 252646370 328440281 505292740 656880562 1010585480 1313761124 1642201405 2627522248 3284402810 6568805620 13137611240