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12096719784 = 23321735327997
BaseRepresentation
bin10110100010000010…
…10100101110101000
31011020001010000221200
423101001110232220
5144233230013114
65320202404200
7605524264422
oct132101245650
934201100850
1012096719784
115148312686
122417200660
1311aa1ca276
1482a7d7812
154abec8409
hex2d1054ba8

12096719784 has 96 divisors (see below), whose sum is σ = 34788634920. Its totient is φ = 3784163328.

The previous prime is 12096719783. The next prime is 12096719809. The reversal of 12096719784 is 48791769021.

It can be written as a sum of positive squares in 4 ways, for example, as 12089002500 + 7717284 = 109950^2 + 2778^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12096719784.

It is not an unprimeable number, because it can be changed into a prime (12096719783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418074 + ... + 446070.

Almost surely, 212096719784 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 12096719784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17394317460).

12096719784 is an abundant number, since it is smaller than the sum of its proper divisors (22691915136).

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

12096719784 is a wasteful number, since it uses less digits than its factorization.

12096719784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28379 (or 28372 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 12096719784 in words is "twelve billion, ninety-six million, seven hundred nineteen thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 353 408 612 706 1059 1224 1412 2118 2824 3177 4236 6001 6354 8472 12002 12708 18003 24004 25416 27997 36006 48008 54009 55994 72012 83991 108018 111988 144024 167982 216036 223976 251973 335964 432072 475949 503946 671928 951898 1007892 1427847 1903796 2015784 2855694 3807592 4283541 5711388 8567082 9882941 11422776 17134164 19765882 29648823 34268328 39531764 59297646 79063528 88946469 118595292 168009997 177892938 237190584 336019994 355785876 504029991 672039988 711571752 1008059982 1344079976 1512089973 2016119964 3024179946 4032239928 6048359892 12096719784