Search a number
-
+
13349018123172 = 22336191511132151
BaseRepresentation
bin1100001001000000111101…
…1110111011101110100100
31202021011011000200012212000
43002100033132323232210
53222202242114420142
644220242042125300
72545302053610114
oct302201736735644
952234130605760
1013349018123172
1142873177a4496
1215b71671b0830
1375aa64cc3924
1434214b307044
1518238a3d914c
hexc240f7bbba4

13349018123172 has 96 divisors (see below), whose sum is σ = 34687679846400. Its totient is φ = 4439510532000.

The previous prime is 13349018123171. The next prime is 13349018123227. The reversal of 13349018123172 is 27132181094331.

13349018123172 is a `hidden beast` number, since 1 + 3 + 349 + 0 + 1 + 8 + 1 + 231 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (13349018123171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100947297 + ... + 101079447.

It is an arithmetic number, because the mean of its divisors is an integer number (361329998400).

Almost surely, 213349018123172 is an apocalyptic number.

13349018123172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13349018123172 is an abundant number, since it is smaller than the sum of its proper divisors (21338661723228).

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

13349018123172 is a wasteful number, since it uses less digits than its factorization.

13349018123172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134294 (or 134286 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13349018123172 in words is "thirteen trillion, three hundred forty-nine billion, eighteen million, one hundred twenty-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 619 1238 1511 1857 2476 3022 3714 4533 5571 6044 7428 9066 11142 13599 16713 18132 22284 27198 33426 40797 54396 66852 81594 132151 163188 264302 396453 528604 792906 935309 1189359 1585812 1870618 2378718 2805927 3568077 3741236 4757436 5611854 7136154 8417781 11223708 14272308 16835562 25253343 33671124 50506686 81801469 101013372 163602938 199680161 245404407 327205876 399360322 490808814 599040483 736213221 798720644 981617628 1198080966 1472426442 1797121449 2208639663 2396161932 2944852884 3594242898 4417279326 5391364347 7188485796 8834558652 10782728694 21565457388 123602019659 247204039318 370806058977 494408078636 741612117954 1112418176931 1483224235908 2224836353862 3337254530793 4449672707724 6674509061586 13349018123172