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12793825940 = 2257195638543
BaseRepresentation
bin10111110101001001…
…00100101010010100
31020000121211200211012
423322210210222110
5202200204412230
65513304031352
7632020504040
oct137244445224
936017750735
1012793825940
115475865875
122590762558
13128b76540c
1489521b020
154ed2c8395
hex2fa924a94

12793825940 has 96 divisors (see below), whose sum is σ = 32382443520. Its totient is φ = 4147721856.

The previous prime is 12793825931. The next prime is 12793825943. The reversal of 12793825940 is 4952839721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12793825943) 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, 1493309 + ... + 1501851.

It is an arithmetic number, because the mean of its divisors is an integer number (337317120).

Almost surely, 212793825940 is an apocalyptic number.

12793825940 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 12793825940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16191221760).

12793825940 is an abundant number, since it is smaller than the sum of its proper divisors (19588617580).

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

12793825940 is a wasteful number, since it uses less digits than its factorization.

12793825940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9141 (or 9139 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 12793825940 in words is "twelve billion, seven hundred ninety-three million, eight hundred twenty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 563 665 1126 1330 2252 2660 2815 3941 5630 7882 8543 10697 11260 15764 17086 19705 21394 34172 39410 42715 42788 53485 59801 74879 78820 85430 106970 119602 149758 162317 170860 213940 239204 299005 299516 324634 374395 598010 649268 748790 811585 1136219 1196020 1497580 1623170 2272438 3246340 4544876 4809709 5681095 9619418 11362190 19238836 22724380 24048545 33667963 48097090 67335926 91384471 96194180 134671852 168339815 182768942 336679630 365537884 456922355 639691297 673359260 913844710 1279382594 1827689420 2558765188 3198456485 6396912970 12793825940