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12623969412 = 22321743491977
BaseRepresentation
bin10111100000111001…
…00111110010000100
31012120210020002110200
423300130213302010
5201323214010122
65444355250500
7624555653355
oct136034476204
935523202420
1012623969412
1153989a107a
1225438a9a30
1312625034b2
1487a843d2c
154dd4255ac
hex2f0727c84

12623969412 has 144 divisors (see below), whose sum is σ = 34679316672. Its totient is φ = 3856527360.

The previous prime is 12623969339. The next prime is 12623969419. The reversal of 12623969412 is 21496932621.

12623969412 is a `hidden beast` number, since 1 + 2 + 623 + 9 + 6 + 9 + 4 + 12 = 666.

It is a super-2 number, since 2×126239694122 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12623969419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12920668 + ... + 12921644.

It is an arithmetic number, because the mean of its divisors is an integer number (240828588).

Almost surely, 212623969412 is an apocalyptic number.

12623969412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12623969412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17339658336).

12623969412 is an abundant number, since it is smaller than the sum of its proper divisors (22055347260).

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

12623969412 is a wasteful number, since it uses less digits than its factorization.

12623969412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1533 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 12623969412 in words is "twelve billion, six hundred twenty-three million, nine hundred sixty-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 68 86 102 129 153 172 204 258 306 387 491 516 612 731 774 977 982 1462 1473 1548 1954 1964 2193 2924 2931 2946 3908 4386 4419 5862 5892 6579 8347 8772 8793 8838 11724 13158 16609 16694 17586 17676 21113 25041 26316 33218 33388 35172 42011 42226 49827 50082 63339 66436 75123 84022 84452 99654 100164 126033 126678 149481 150246 168044 190017 199308 252066 253356 298962 300492 358921 378099 380034 479707 504132 597924 714187 717842 756198 760068 959414 1076763 1428374 1435684 1439121 1512396 1918828 2142561 2153526 2856748 2878242 3230289 4285122 4307052 4317363 5756484 6427683 6460578 8155019 8570244 8634726 12855366 12921156 16310038 17269452 20627401 24465057 25710732 32620076 41254802 48930114 61882203 73395171 82509604 97860228 123764406 146790342 185646609 247528812 293580684 350665817 371293218 701331634 742586436 1051997451 1402663268 2103994902 3155992353 4207989804 6311984706 12623969412