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12635296240 = 2457171327237
BaseRepresentation
bin10111100010001111…
…10101000111110000
31012121120112112221211
423301013311013300
5201334113434430
65445442125504
7625054150240
oct136107650760
935546475854
1012635296240
1153a4328096
122547650894
13126496ac68
1487c151b20
154de41172a
hex2f11f51f0

12635296240 has 80 divisors (see below), whose sum is σ = 35548742592. Its totient is φ = 4077268992.

The previous prime is 12635296199. The next prime is 12635296279. The reversal of 12635296240 is 4269253621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×126352962402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12635296193 and 12635296202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654099 + ... + 673138.

Almost surely, 212635296240 is an apocalyptic number.

12635296240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12635296240 is an abundant number, since it is smaller than the sum of its proper divisors (22913446352).

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

12635296240 is a wasteful number, since it uses less digits than its factorization.

12635296240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327274 (or 1327268 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

It can be divided in two parts, 12635 and 296240, that multiplied together give a square (3742992400 = 611802).

The spelling of 12635296240 in words is "twelve billion, six hundred thirty-five million, two hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 9520 1327237 2654474 5308948 6636185 9290659 10617896 13272370 18581318 21235792 22563029 26544740 37162636 45126058 46453295 53089480 74325272 90252116 92906590 106178960 112815145 148650544 157941203 180504232 185813180 225630290 315882406 361008464 371626360 451260580 631764812 743252720 789706015 902521160 1263529624 1579412030 1805042320 2527059248 3158824060 6317648120 12635296240