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12895245960 = 2335179765167
BaseRepresentation
bin11000000001001110…
…11101011010001000
31020021200200100221020
430000213131122020
5202402140332320
65531325512440
7634361532162
oct140047353210
936250610836
1012895245960
115518037173
1225ba712720
1312a678536c
148a489b932
1550715d940
hex3009dd688

12895245960 has 128 divisors (see below), whose sum is σ = 41384286720. Its totient is φ = 3203039232.

The previous prime is 12895245959. The next prime is 12895245967. The reversal of 12895245960 is 6954259821.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (12895245967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165297 + ... + 230463.

It is an arithmetic number, because the mean of its divisors is an integer number (323314740).

Almost surely, 212895245960 is an apocalyptic number.

12895245960 is a gapful number since it is divisible by the number (10) 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 12895245960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20692143360).

12895245960 is an abundant number, since it is smaller than the sum of its proper divisors (28489040760).

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

12895245960 is a wasteful number, since it uses less digits than its factorization.

12895245960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65295 (or 65291 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 12895245960 in words is "twelve billion, eight hundred ninety-five million, two hundred forty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 97 102 120 136 170 194 204 255 291 340 388 408 485 510 582 680 776 970 1020 1164 1455 1649 1940 2040 2328 2910 3298 3880 4947 5820 6596 8245 9894 11640 13192 16490 19788 24735 32980 39576 49470 65167 65960 98940 130334 195501 197880 260668 325835 391002 521336 651670 782004 977505 1107839 1303340 1564008 1955010 2215678 2606680 3323517 3910020 4431356 5539195 6321199 6647034 7820040 8862712 11078390 12642398 13294068 16617585 18963597 22156780 25284796 26588136 31605995 33235170 37927194 44313560 50569592 63211990 66470340 75854388 94817985 107460383 126423980 132940680 151708776 189635970 214920766 252847960 322381149 379271940 429841532 537301915 644762298 758543880 859683064 1074603830 1289524596 1611905745 2149207660 2579049192 3223811490 4298415320 6447622980 12895245960