Search a number
-
+
12630544164 = 223576432887
BaseRepresentation
bin10111100001101011…
…01100111100100100
31012121020121010100000
423300311230330210
5201331404403124
65445152221300
7624665565630
oct136065547444
935536533300
1012630544164
1153a1681857
122545b3a830
131263995c94
1487b675dc0
154ddcc36c9
hex2f0d6cf24

12630544164 has 144 divisors (see below), whose sum is σ = 37911630848. Its totient is φ = 3601866528.

The previous prime is 12630544153. The next prime is 12630544181. The reversal of 12630544164 is 46144503621.

12630544164 is a `hidden beast` number, since 1 + 2 + 630 + 5 + 4 + 4 + 16 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4373529 + ... + 4376415.

Almost surely, 212630544164 is an apocalyptic number.

12630544164 is a gapful number since it is divisible by the number (14) 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 12630544164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18955815424).

12630544164 is an abundant number, since it is smaller than the sum of its proper divisors (25281086684).

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

12630544164 is a wasteful number, since it uses less digits than its factorization.

12630544164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12630544164 in words is "twelve billion, six hundred thirty million, five hundred forty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 643 756 972 1134 1286 1701 1929 2268 2572 2887 3402 3858 4501 5774 5787 6804 7716 8661 9002 11548 11574 13503 17322 17361 18004 20209 23148 25983 27006 34644 34722 40418 40509 51966 52083 54012 60627 69444 77949 80836 81018 103932 104166 121254 121527 155898 156249 162036 181881 208332 233847 242508 243054 311796 312498 363762 364581 467694 486108 545643 624996 701541 727524 729162 935388 1091286 1093743 1403082 1458324 1636929 1856341 2182572 2187486 2806164 3273858 3712682 4374972 4910787 5569023 6547716 7425364 9821574 11138046 12994387 16707069 19643148 22276092 25988774 33414138 38983161 50121207 51977548 66828276 77966322 100242414 116949483 150363621 155932644 200484828 233898966 300727242 350848449 451090863 467797932 601454484 701696898 902181726 1052545347 1403393796 1804363452 2105090694 3157636041 4210181388 6315272082 12630544164