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12319187690348 = 22711195419388471
BaseRepresentation
bin1011001101000100100011…
…0011100110001101101100
31121121200222101000210102122
42303101020303212031230
53103314144022042343
642111205014012112
72411013645426140
oct263211063461554
947550871023378
1012319187690348
113a1a5a1321930
12146b65b047038
136b4904823306
14308375195220
151656b4d91068
hexb3448ce636c

12319187690348 has 96 divisors (see below), whose sum is σ = 28298165145600. Its totient is φ = 4546217793600.

The previous prime is 12319187690347. The next prime is 12319187690351. The reversal of 12319187690348 is 84309678191321.

It is a super-2 number, since 2×123191876903482 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12319187690347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31517753 + ... + 31906223.

It is an arithmetic number, because the mean of its divisors is an integer number (294772553600).

Almost surely, 212319187690348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12319187690348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14149082572800).

12319187690348 is an abundant number, since it is smaller than the sum of its proper divisors (15978977455252).

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

12319187690348 is a wasteful number, since it uses less digits than its factorization.

12319187690348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393931 (or 393929 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 62.

The spelling of 12319187690348 in words is "twelve trillion, three hundred nineteen billion, one hundred eighty-seven million, six hundred ninety thousand, three hundred forty-eight".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 836 1463 2926 5419 5852 10838 21676 37933 59609 75866 102961 119218 151732 205922 238436 388471 411844 417263 720727 776942 834526 1132571 1441454 1553884 1669052 2265142 2719297 2882908 4273181 4530284 5438594 7380949 7927997 8546362 10877188 14761898 15855994 17092724 29523796 29912267 31711988 51666643 59824534 81190439 103333286 119649068 162380878 206666572 324761756 568333073 1136666146 2105124349 2273332292 4210248698 8420497396 14735870443 23156367839 29471740886 39997362631 46312735678 58943481772 79994725262 92625471356 159989450524 162094574873 279981538417 324189149746 439970988941 559963076834 648378299492 879941977882 1119926153668 1759883955764 3079796922587 6159593845174 12319187690348