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12631390780 = 2253761461607
BaseRepresentation
bin10111100001110001…
…11011101000111100
31012121022012010200011
423300320323220330
5201332114001110
65445222313004
7625006023121
oct136070735074
935538163604
1012631390780
1153a20aa938
122546288764
131263c01438
1487b816748
154dddde48a
hex2f0e3ba3c

12631390780 has 96 divisors (see below), whose sum is σ = 27795220992. Its totient is φ = 4816972800.

The previous prime is 12631390777. The next prime is 12631390781. The reversal of 12631390780 is 8709313621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12631390781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20809237 + ... + 20809843.

It is an arithmetic number, because the mean of its divisors is an integer number (289533552).

Almost surely, 212631390780 is an apocalyptic number.

12631390780 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 12631390780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13897610496).

12631390780 is an abundant number, since it is smaller than the sum of its proper divisors (15163830212).

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

12631390780 is a wasteful number, since it uses less digits than its factorization.

12631390780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 12631390780 in words is "twelve billion, six hundred thirty-one million, three hundred ninety thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 37 61 74 122 148 185 244 305 370 461 607 610 740 922 1214 1220 1844 2257 2305 2428 3035 4514 4610 6070 9028 9220 11285 12140 17057 22459 22570 28121 34114 37027 44918 45140 56242 68228 74054 85285 89836 112295 112484 140605 148108 170570 185135 224590 279827 281210 341140 370270 449180 559654 562420 740540 1040477 1119308 1369999 1399135 2080954 2739998 2798270 4161908 5202385 5479996 5596540 6849995 10353599 10404770 13699990 17069447 20707198 20809540 27399980 34138894 41414396 51767995 68277788 85347235 103535990 170694470 207071980 341388940 631569539 1263139078 2526278156 3157847695 6315695390 12631390780