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30172614318 = 23371111364217
BaseRepresentation
bin11100000110011011…
…011000111010101110
32212212210002121201000
4130012123120322232
5443243142124233
621505555501130
72115463663410
oct340633307256
985783077630
1030172614318
11118837217a0
125a208b77a6
132acb081352
14166333c9b0
15bb8d73d13
hex7066d8eae

30172614318 has 128 divisors (see below), whose sum is σ = 84336215040. Its totient is φ = 7767567360.

The previous prime is 30172614317. The next prime is 30172614359. The reversal of 30172614318 is 81341627103.

It is a happy number.

30172614318 is a `hidden beast` number, since 3 + 0 + 1 + 7 + 2 + 614 + 31 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30172614317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 437746 + ... + 501962.

It is an arithmetic number, because the mean of its divisors is an integer number (658876680).

Almost surely, 230172614318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30172614318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42168107520).

30172614318 is an abundant number, since it is smaller than the sum of its proper divisors (54163600722).

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

30172614318 is a wasteful number, since it uses less digits than its factorization.

30172614318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64359 (or 64353 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 30172614318 in words is "thirty billion, one hundred seventy-two million, six hundred fourteen thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 113 126 154 189 198 226 231 297 339 378 462 594 678 693 791 1017 1243 1386 1582 2034 2079 2373 2486 3051 3729 4158 4746 6102 7119 7458 8701 11187 14238 17402 21357 22374 26103 33561 42714 52206 64217 67122 78309 128434 156618 192651 234927 385302 449519 469854 577953 706387 899038 1155906 1348557 1412774 1733859 2119161 2697114 3467718 4045671 4238322 4944709 6357483 7256521 8091342 9889418 12137013 12714966 14513042 14834127 19072449 21769563 24274026 29668254 38144898 43539126 44502381 50795647 65308689 79821731 89004762 101591294 130617378 133507143 152386941 159643462 195926067 239465193 267014286 304773882 391852134 457160823 478930386 558752117 718395579 914321646 1117504234 1371482469 1436791158 1676256351 2155186737 2742964938 3352512702 4310373474 5028769053 10057538106 15086307159 30172614318