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12491376520 = 235741226539
BaseRepresentation
bin10111010001000101…
…10100011110001000
31012020112201200012211
423220202310132020
5201040243022040
65423301314504
7621355643230
oct135042643610
935215650184
1012491376520
115330069077
122507405a34
131240bba76c
14866daacc0
154d19838ea
hex2e88b4788

12491376520 has 96 divisors (see below), whose sum is σ = 32924462400. Its totient is φ = 4178142720.

The previous prime is 12491376517. The next prime is 12491376523. The reversal of 12491376520 is 2567319421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12491376517) and next prime (12491376523).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (12491376523) 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, 457411 + ... + 483949.

It is an arithmetic number, because the mean of its divisors is an integer number (342963150).

Almost surely, 212491376520 is an apocalyptic number.

12491376520 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 12491376520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16462231200).

12491376520 is an abundant number, since it is smaller than the sum of its proper divisors (20433085880).

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

12491376520 is a wasteful number, since it uses less digits than its factorization.

12491376520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26639 (or 26594 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 12491376520 in words is "twelve billion, four hundred ninety-one million, three hundred seventy-six thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1435 1640 1681 2296 2870 3362 5740 6724 8405 11480 11767 13448 16810 23534 26539 33620 47068 53078 58835 67240 94136 106156 117670 132695 185773 212312 235340 265390 371546 470680 530780 743092 928865 1061560 1088099 1486184 1857730 2176198 3715460 4352396 5440495 7430920 7616693 8704792 10880990 15233386 21761980 30466772 38083465 43523960 44612059 60933544 76166930 89224118 152333860 178448236 223060295 304667720 312284413 356896472 446120590 624568826 892241180 1249137652 1561422065 1784482360 2498275304 3122844130 6245688260 12491376520