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12503832704 = 271161197739
BaseRepresentation
bin10111010010100100…
…10101100010000000
31012021102011111212222
423221102111202000
5201101440121304
65424424310212
7621566552516
oct135122254200
935242144788
1012503832704
1153370a6640
12250b612368
13124365c29c
148688d04b6
154d2ae44be
hex2e9495880

12503832704 has 128 divisors (see below), whose sum is σ = 27797774400. Its totient is φ = 5554483200.

The previous prime is 12503832659. The next prime is 12503832727. The reversal of 12503832704 is 40723830521.

It is a tau number, because it is divible by the number of its divisors (128).

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, 16919567 + ... + 16920305.

Almost surely, 212503832704 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 12503832704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898887200).

12503832704 is an abundant number, since it is smaller than the sum of its proper divisors (15293941696).

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

12503832704 is a wasteful number, since it uses less digits than its factorization.

12503832704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 12503832704 in words is "twelve billion, five hundred three million, eight hundred thirty-two thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 128 176 197 244 352 394 488 671 704 739 788 976 1342 1408 1478 1576 1952 2167 2684 2956 3152 3904 4334 5368 5912 6304 7808 8129 8668 10736 11824 12017 12608 16258 17336 21472 23648 24034 25216 32516 34672 42944 45079 47296 48068 65032 69344 85888 90158 94592 96136 130064 132187 138688 145583 180316 192272 260128 264374 277376 291166 360632 384544 495869 520256 528748 582332 721264 769088 991738 1040512 1057496 1164664 1442528 1538176 1601413 1983476 2114992 2329328 2885056 3202826 3966952 4229984 4658656 5770112 6405652 7933904 8459968 8880563 9317312 12811304 15867808 16919936 17761126 18634624 25622608 31735616 35522252 51245216 63471232 71044504 97686193 102490432 142089008 195372386 204980864 284178016 390744772 568356032 781489544 1136712064 1562979088 3125958176 6251916352 12503832704