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12631060320 = 253543360773
BaseRepresentation
bin10111100001101111…
…01010111101100000
31012121021120100100220
423300313222331200
5201332022412240
65445211243040
7625003145514
oct136067527540
935537510326
1012631060320
1153a19a462a
122546149480
131263b16bb8
1487b76c144
154ddd765d0
hex2f0deaf60

12631060320 has 96 divisors (see below), whose sum is σ = 39880384992. Its totient is φ = 3360448512.

The previous prime is 12631060319. The next prime is 12631060339. The reversal of 12631060320 is 2306013621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 177454 + ... + 238226.

It is an arithmetic number, because the mean of its divisors is an integer number (415420677).

Almost surely, 212631060320 is an apocalyptic number.

12631060320 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 12631060320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19940192496).

12631060320 is an abundant number, since it is smaller than the sum of its proper divisors (27249324672).

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

12631060320 is a wasteful number, since it uses less digits than its factorization.

12631060320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61224 (or 61216 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12631060320 its reverse (2306013621), we get a palindrome (14937073941).

The spelling of 12631060320 in words is "twelve billion, six hundred thirty-one million, sixty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 433 480 866 1299 1732 2165 2598 3464 4330 5196 6495 6928 8660 10392 12990 13856 17320 20784 25980 34640 41568 51960 60773 69280 103920 121546 182319 207840 243092 303865 364638 486184 607730 729276 911595 972368 1215460 1458552 1823190 1944736 2430920 2917104 3646380 4861840 5834208 7292760 9723680 14585520 26314709 29171040 52629418 78944127 105258836 131573545 157888254 210517672 263147090 315776508 394720635 421035344 526294180 631553016 789441270 842070688 1052588360 1263106032 1578882540 2105176720 2526212064 3157765080 4210353440 6315530160 12631060320