Search a number
-
+
133131546616360 = 2356179696799133
BaseRepresentation
bin11110010001010100011010…
…100010110110001000101000
3122110101020210101110001122011
4132101110122202312020220
5114422211401413210420
61151051442130005304
740020302555563525
oct3621243242661050
9573336711401564
10133131546616360
1139468854372876
1212b21951716834
135939335521106
1424c385bb1a14c
15105d0cc80795a
hex79151a8b6228

133131546616360 has 128 divisors (see below), whose sum is σ = 308357813836800. Its totient is φ = 51708646978560.

The previous prime is 133131546616267. The next prime is 133131546616381. The reversal of 133131546616360 is 63616645131331.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1342909354 + ... + 1343008486.

It is an arithmetic number, because the mean of its divisors is an integer number (2409045420600).

Almost surely, 2133131546616360 is an apocalyptic number.

133131546616360 is a gapful number since it is divisible by the number (10) 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 133131546616360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154178906918400).

133131546616360 is an abundant number, since it is smaller than the sum of its proper divisors (175226267220440).

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

133131546616360 is a wasteful number, since it uses less digits than its factorization.

133131546616360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106251 (or 106247 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 49.

The spelling of 133131546616360 in words is "one hundred thirty-three trillion, one hundred thirty-one billion, five hundred forty-six million, six hundred sixteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 61 79 122 158 244 305 316 395 488 610 632 790 1220 1580 2440 3160 4819 6967 9638 13934 19276 24095 27868 34835 38552 48190 55736 69670 96380 99133 139340 192760 198266 278680 396532 424987 495665 550393 793064 849974 991330 1100786 1699948 1982660 2124935 2201572 2751965 3399896 3965320 4249870 4403144 5503930 6047113 7831507 8499740 11007860 12094226 15663014 16999480 22015720 24188452 30235565 31326028 33573973 39157535 48376904 60471130 62652056 67147946 78315070 120942260 134295892 156630140 167869865 241884520 268591784 313260280 335739730 477721927 671479460 690659611 955443854 1342958920 1381319222 1910887708 2388609635 2762638444 3453298055 3821775416 4777219270 5525276888 6906596110 9554438540 13813192220 19108877080 27626384440 42130236271 54562109269 84260472542 109124218538 168520945084 210651181355 218248437076 272810546345 337041890168 421302362710 436496874152 545621092690 842604725420 1091242185380 1685209450840 2182484370760 3328288665409 6656577330818 13313154661636 16641443327045 26626309323272 33282886654090 66565773308180 133131546616360