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3133129389876 = 2232315971670199
BaseRepresentation
bin101101100101111101000…
…100000111011100110100
3102002112011011200222221200
4231211331010013130310
5402313122110434001
610355201220212500
7442234603254063
oct55457504073464
912075134628850
103133129389876
11aa8830950832
1242727a83a130
131995b6b4cb05
14ab903c4a1da
15567771a9086
hex2d97d107734

3133129389876 has 144 divisors (see below), whose sum is σ = 8431008768000. Its totient is φ = 979561396800.

The previous prime is 3133129389857. The next prime is 3133129389883. The reversal of 3133129389876 is 6789839213313.

3133129389876 is a `hidden beast` number, since 3 + 1 + 331 + 293 + 8 + 9 + 8 + 7 + 6 = 666.

It is a super-2 number, since 2×31331293898762 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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, 4339825 + ... + 5010023.

It is an arithmetic number, because the mean of its divisors is an integer number (58548672000).

Almost surely, 23133129389876 is an apocalyptic number.

3133129389876 is a gapful number since it is divisible by the number (36) 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 3133129389876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215504384000).

3133129389876 is an abundant number, since it is smaller than the sum of its proper divisors (5297879378124).

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

3133129389876 is a wasteful number, since it uses less digits than its factorization.

3133129389876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670370 (or 670365 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 3133129389876 in words is "three trillion, one hundred thirty-three billion, one hundred twenty-nine million, three hundred eighty-nine thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 59 62 71 93 118 124 142 177 186 213 236 279 284 354 372 426 531 558 639 708 852 1062 1116 1278 1829 2124 2201 2556 3658 4189 4402 5487 6603 7316 8378 8804 10974 12567 13206 16461 16756 19809 21948 25134 26412 32922 37701 39618 50268 65844 75402 79236 129859 150804 259718 389577 519436 670199 779154 1168731 1340398 1558308 2010597 2337462 2680796 4021194 4674924 6031791 8042388 12063582 20776169 24127164 39541741 41552338 47584129 62328507 79083482 83104676 95168258 118625223 124657014 142752387 158166964 186985521 190336516 237250446 249314028 285504774 355875669 373971042 428257161 474500892 571009548 711751338 747942084 856514322 1225793971 1423502676 1475107999 1713028644 2451587942 2807463611 2950215998 3677381913 4425323997 4903175884 5614927222 5900431996 7354763826 8422390833 8850647994 11032145739 11229854444 13275971991 14709527652 16844781666 17701295988 22064291478 25267172499 26551943982 33689563332 44128582956 50534344998 53103887964 87031371941 101068689996 174062743882 261094115823 348125487764 522188231646 783282347469 1044376463292 1566564694938 3133129389876