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12313752460 = 2251722777691
BaseRepresentation
bin10110111011111010…
…01111001110001100
31011210011111102210221
423131331033032030
5200204310034320
65353514241124
7614101111642
oct133575171614
934704442727
1012313752460
115249879529
122477a261a4
131213169179
1484b571192
154c10993aa
hex2ddf4f38c

12313752460 has 72 divisors (see below), whose sum is σ = 27572220144. Its totient is φ = 4618429440.

The previous prime is 12313752431. The next prime is 12313752463. The reversal of 12313752460 is 6425731321.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (12313752463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1597215 + ... + 1604905.

It is an arithmetic number, because the mean of its divisors is an integer number (382947502).

Almost surely, 212313752460 is an apocalyptic number.

12313752460 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 12313752460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13786110072).

12313752460 is an abundant number, since it is smaller than the sum of its proper divisors (15258467684).

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

12313752460 is a wasteful number, since it uses less digits than its factorization.

12313752460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8011 (or 7992 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 12313752460 in words is "twelve billion, three hundred thirteen million, seven hundred fifty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 277 289 340 554 578 1108 1156 1385 1445 2770 2890 4709 5540 5780 7691 9418 15382 18836 23545 30764 38455 47090 76910 80053 94180 130747 153820 160106 261494 320212 400265 522988 653735 800530 1307470 1601060 2130407 2222699 2614940 4260814 4445398 8521628 8890796 10652035 11113495 21304070 22226990 36216919 42608140 44453980 72433838 144867676 181084595 362169190 615687623 724338380 1231375246 2462750492 3078438115 6156876230 12313752460