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12457360680 = 233513725531
BaseRepresentation
bin10111001101000010…
…00011110100101000
31012011011201111020220
423212201003310220
5201003041020210
65420044250040
7620463550542
oct134641036450
935134644226
1012457360680
115312945506
1224b7b40920
131236b3a94b
14862674692
154cd9b4c70
hex2e6843d28

12457360680 has 96 divisors (see below), whose sum is σ = 37653668640. Its totient is φ = 3297118720.

The previous prime is 12457360609. The next prime is 12457360681. The reversal of 12457360680 is 8606375421.

It is a super-2 number, since 2×124573606802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12457360681) 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, 2249515 + ... + 2255045.

It is an arithmetic number, because the mean of its divisors is an integer number (392225715).

Almost surely, 212457360680 is an apocalyptic number.

12457360680 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 12457360680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18826834320).

12457360680 is an abundant number, since it is smaller than the sum of its proper divisors (25196307960).

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

12457360680 is a wasteful number, since it uses less digits than its factorization.

12457360680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5819 (or 5678 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 12457360680 in words is "twelve billion, four hundred fifty-seven million, three hundred sixty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 4110 5480 5531 8220 11062 16440 16593 18769 22124 27655 33186 37538 44248 55310 56307 66372 75076 82965 93845 110620 112614 132744 150152 165930 187690 221240 225228 281535 331860 375380 450456 563070 663720 750760 757747 1126140 1515494 2252280 2273241 3030988 3788735 4546482 6061976 7577470 9092964 11366205 15154940 18185928 22732410 30309880 45464820 90929640 103811339 207622678 311434017 415245356 519056695 622868034 830490712 1038113390 1245736068 1557170085 2076226780 2491472136 3114340170 4152453560 6228680340 12457360680