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12618366144 = 2631714992579
BaseRepresentation
bin10111100000001110…
…01111110011000000
31012120101200102020020
423300013033303000
5201320300204034
65444035213440
7624460225326
oct136007176300
935511612206
1012618366144
11539581427a
122541a47280
1312612c0c57
14879bc5d16
154dcbba249
hex2f01cfcc0

12618366144 has 112 divisors (see below), whose sum is σ = 35387280000. Its totient is φ = 3954528256.

The previous prime is 12618366091. The next prime is 12618366169. The reversal of 12618366144 is 44166381621.

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

It is a junction number, because it is equal to n+sod(n) for n = 12618366096 and 12618366105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4891447 + ... + 4894025.

Almost surely, 212618366144 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 12618366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17693640000).

12618366144 is an abundant number, since it is smaller than the sum of its proper divisors (22768913856).

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

12618366144 is a wasteful number, since it uses less digits than its factorization.

12618366144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110 (or 4100 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The spelling of 12618366144 in words is "twelve billion, six hundred eighteen million, three hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1499 1632 2579 2998 3264 4497 5158 5996 7737 8994 10316 11992 15474 17988 20632 23984 25483 30948 35976 41264 43843 47968 50966 61896 71952 76449 82528 87686 95936 101932 123792 131529 143904 152898 165056 175372 203864 247584 263058 287808 305796 350744 407728 495168 526116 611592 701488 815456 1052232 1223184 1402976 1630912 2104464 2446368 2805952 3865921 4208928 4892736 7731842 8417856 11597763 15463684 23195526 30927368 46391052 61854736 65720657 92782104 123709472 131441314 185564208 197161971 247418944 262882628 371128416 394323942 525765256 742256832 788647884 1051530512 1577295768 2103061024 3154591536 4206122048 6309183072 12618366144