Search a number
-
+
13096625573268 = 22321752188746307
BaseRepresentation
bin1011111010010100101110…
…1101110000110110010100
31201101000200100120020021100
42332211023231300312110
53204033342121321033
643504301241550100
72521125406413156
oct276451355606624
951330610506240
1013096625573268
11419a27a787076
1215762694a5330
13740011357143
14333c46c54ad6
1517aa1751b513
hexbe94bb70d94

13096625573268 has 144 divisors (see below), whose sum is σ = 35160366294144. Its totient is φ = 4096147261440.

The previous prime is 13096625573233. The next prime is 13096625573279. The reversal of 13096625573268 is 86237552669031.

It is a happy number.

13096625573268 is a `hidden beast` number, since 1 + 30 + 9 + 6 + 6 + 2 + 5 + 573 + 26 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282798571 + ... + 282844877.

It is an arithmetic number, because the mean of its divisors is an integer number (244169210376).

Almost surely, 213096625573268 is an apocalyptic number.

13096625573268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13096625573268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17580183147072).

13096625573268 is an abundant number, since it is smaller than the sum of its proper divisors (22063740720876).

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

13096625573268 is a wasteful number, since it uses less digits than its factorization.

13096625573268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47742 (or 47737 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 13096625573268 in words is "thirteen trillion, ninety-six billion, six hundred twenty-five million, five hundred seventy-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 521 612 887 1042 1563 1774 2084 2661 3126 3548 4689 5322 6252 7983 8857 9378 10644 15079 15966 17714 18756 26571 30158 31932 35428 45237 46307 53142 60316 79713 90474 92614 106284 135711 138921 159426 180948 185228 271422 277842 318852 416763 462127 542844 555684 787219 833526 924254 1386381 1574438 1667052 1848508 2361657 2772762 3148876 4159143 4723314 5545524 7084971 7856159 8318286 9446628 14169942 15712318 16636572 23568477 24125947 28339884 31424636 41074309 47136954 48251894 70705431 72377841 82148618 94273908 96503788 123222927 141410862 144755682 164297236 217133523 246445854 282821724 289511364 369668781 410141099 434267046 492891708 698263253 739337562 820282198 868534092 1230423297 1396526506 1478675124 1640564396 2094789759 2460846594 2793053012 3691269891 4189579518 4921693188 6284369277 7382539782 8379159036 12568738554 14765079564 21399714989 25137477108 42799429978 64199144967 85598859956 128398289934 192597434901 256796579868 363795154813 385194869802 727590309626 770389739604 1091385464439 1455180619252 2182770928878 3274156393317 4365541857756 6548312786634 13096625573268