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12035657172 = 22371143302921
BaseRepresentation
bin10110011010110000…
…11000110111010100
31011001210012201210110
423031120120313110
5144122112012142
65310141523020
7604153253340
oct131530306724
934053181713
1012035657172
1151168a6410
1223ba873470
13119a66a746
14822660620
154a696599c
hex2cd618dd4

12035657172 has 96 divisors (see below), whose sum is σ = 35827190784. Its totient is φ = 3053433600.

The previous prime is 12035657159. The next prime is 12035657219. The reversal of 12035657172 is 27175653021.

It is a happy number.

12035657172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12035657172.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111729 + ... + 191192.

It is an arithmetic number, because the mean of its divisors is an integer number (373199904).

Almost surely, 212035657172 is an apocalyptic number.

12035657172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12035657172 is an abundant number, since it is smaller than the sum of its proper divisors (23791533612).

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

12035657172 is a wasteful number, since it uses less digits than its factorization.

12035657172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302989 (or 302987 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 12035657172 in words is "twelve billion, thirty-five million, six hundred fifty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 43 44 66 77 84 86 129 132 154 172 231 258 301 308 462 473 516 602 903 924 946 1204 1419 1806 1892 2838 3311 3612 5676 6622 9933 13244 19866 39732 302921 605842 908763 1211684 1817526 2120447 3332131 3635052 4240894 6361341 6664262 8481788 9996393 12722682 13025603 13328524 19992786 23324917 25445364 26051206 39076809 39985572 46649834 52102412 69974751 78153618 91179221 93299668 139949502 143281633 156307236 182358442 273537663 279899004 286563266 364716884 429844899 547075326 573126532 859689798 1002971431 1094150652 1719379596 2005942862 3008914293 4011885724 6017828586 12035657172