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12369487104 = 283313137659
BaseRepresentation
bin10111000010100011…
…10110010100000000
31011221001101001101000
423201101312110000
5200313042041404
65403225012000
7615345622422
oct134121662400
934831331330
1012369487104
115278286817
122492624000
131221881850
14854b1c812
154c5e08339
hex2e1476500

12369487104 has 144 divisors (see below), whose sum is σ = 39392785600. Its totient is φ = 3805968384.

The previous prime is 12369487037. The next prime is 12369487111. The reversal of 12369487104 is 40178496321.

12369487104 is a `hidden beast` number, since 1 + 2 + 3 + 69 + 487 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×123694871042 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12369487104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21027 + ... + 158685.

Almost surely, 212369487104 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 12369487104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19696392800).

12369487104 is an abundant number, since it is smaller than the sum of its proper divisors (27023298496).

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

12369487104 is a wasteful number, since it uses less digits than its factorization.

12369487104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137697 (or 137677 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12369487104 in words is "twelve billion, three hundred sixty-nine million, four hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1404 1664 1728 1872 2304 2496 2808 3328 3456 3744 4992 5616 6912 7488 9984 11232 14976 22464 29952 44928 89856 137659 275318 412977 550636 825954 1101272 1238931 1651908 1789567 2202544 2477862 3303816 3579134 3716793 4405088 4955724 5368701 6607632 7158268 7433586 8810176 9911448 10737402 13215264 14316536 14867172 16106103 17620352 19822896 21474804 26430528 28633072 29734344 32212206 35240704 39645792 42949608 48318309 52861056 57266144 59468688 64424412 79291584 85899216 96636618 105722112 114532288 118937376 128848824 158583168 171798432 193273236 229064576 237874752 257697648 317166336 343596864 386546472 458129152 475749504 515395296 687193728 773092944 951499008 1030790592 1374387456 1546185888 2061581184 3092371776 4123162368 6184743552 12369487104