Search a number
-
+
13112621368 = 2371147716379
BaseRepresentation
bin11000011011001001…
…01011100100111000
31020211211201011221021
430031210223210320
5203323312340433
610005052552224
7642641304550
oct141544534470
936754634837
1013112621368
115619807570
12265b482674
13130c814272
148c56c4160
1551b29b22d
hex30d92b938

13112621368 has 128 divisors (see below), whose sum is σ = 31750963200. Its totient is φ = 4928918400.

The previous prime is 13112621363. The next prime is 13112621377. The reversal of 13112621368 is 86312621131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112621363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2052403 + ... + 2058781.

It is an arithmetic number, because the mean of its divisors is an integer number (248054400).

Almost surely, 213112621368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13112621368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15875481600).

13112621368 is an abundant number, since it is smaller than the sum of its proper divisors (18638341832).

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

13112621368 is a wasteful number, since it uses less digits than its factorization.

13112621368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6521 (or 6517 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The spelling of 13112621368 in words is "thirteen billion, one hundred twelve million, six hundred twenty-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 47 56 71 77 88 94 142 154 188 284 308 329 376 497 517 568 616 658 781 994 1034 1316 1562 1988 2068 2632 3124 3337 3619 3976 4136 5467 6248 6379 6674 7238 10934 12758 13348 14476 21868 23359 25516 26696 28952 36707 43736 44653 46718 51032 70169 73414 89306 93436 140338 146828 178612 186872 256949 280676 293656 299813 357224 452909 491183 513898 561352 599626 905818 982366 1027796 1199252 1811636 1964732 2055592 2098691 2398504 3170363 3297943 3623272 3929464 4197382 4981999 6340726 6595886 8394764 9963998 12681452 13191772 16789528 19927996 21286723 23085601 25362904 26383544 34873993 39855992 42573446 46171202 69747986 85146892 92342404 139495972 149007061 170293784 184684808 234153953 278991944 298014122 468307906 596028244 936615812 1192056488 1639077671 1873231624 3278155342 6556310684 13112621368