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12431522460 = 22357214093001
BaseRepresentation
bin10111001001111100…
…11111101010011100
31012002101002202212210
423210332133222130
5200424432204320
65413322400420
7620031124500
oct134476375234
935071082783
1012431522460
1152aa2a7905
1224ab360110
131231692066
1485d06a300
154cb5ae0e0
hex2e4f9fa9c

12431522460 has 144 divisors (see below), whose sum is σ = 40533484320. Its totient is φ = 2838528000.

The previous prime is 12431522429. The next prime is 12431522461. The reversal of 12431522460 is 6422513421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12431522461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4140960 + ... + 4143960.

It is an arithmetic number, because the mean of its divisors is an integer number (281482530).

Almost surely, 212431522460 is an apocalyptic number.

12431522460 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 12431522460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20266742160).

12431522460 is an abundant number, since it is smaller than the sum of its proper divisors (28101961860).

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

12431522460 is a wasteful number, since it uses less digits than its factorization.

12431522460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 12431522460 in words is "twelve billion, four hundred thirty-one million, five hundred twenty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1409 1470 2818 2940 3001 4227 5636 6002 7045 8454 9003 9863 12004 14090 15005 16908 18006 19726 21007 21135 28180 29589 30010 36012 39452 42014 42270 45015 49315 59178 60020 63021 69041 84028 84540 90030 98630 105035 118356 126042 138082 147049 147945 180060 197260 207123 210070 252084 276164 294098 295890 315105 345205 414246 420140 441147 588196 591780 630210 690410 735245 828492 882294 1035615 1260420 1380820 1470490 1764588 2071230 2205735 2940980 4142460 4228409 4411470 8456818 8822940 12685227 16913636 21142045 25370454 29598863 42284090 50740908 59197726 63426135 84568180 88796589 118395452 126852270 147994315 177593178 207192041 253704540 295988630 355186356 414384082 443982945 591977260 621576123 828768164 887965890 1035960205 1243152246 1775931780 2071920410 2486304492 3107880615 4143840820 6215761230 12431522460