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10024940970 = 23351117198553
BaseRepresentation
bin10010101011000100…
…00111010110101010
3221212122200202201000
421111202013112222
5131012341102340
64334433135430
7503266410102
oct112542072652
927778622630
1010024940970
1142848aa590
121b393ba576
13c39c10845
146b15b6202
153da187d30
hex2558875aa

10024940970 has 128 divisors (see below), whose sum is σ = 30879118080. Its totient is φ = 2287319040.

The previous prime is 10024940963. The next prime is 10024941011. The reversal of 10024940970 is 7904942001.

10024940970 is a `hidden beast` number, since 1 + 0 + 0 + 249 + 409 + 7 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48787 + ... + 149766.

It is an arithmetic number, because the mean of its divisors is an integer number (241243110).

Almost surely, 210024940970 is an apocalyptic number.

10024940970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10024940970 is an abundant number, since it is smaller than the sum of its proper divisors (20854177110).

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

10024940970 is a wasteful number, since it uses less digits than its factorization.

10024940970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198597 (or 198591 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10024940970 in words is "ten billion, twenty-four million, nine hundred forty thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 85 90 99 102 110 135 153 165 170 187 198 255 270 297 306 330 374 459 495 510 561 594 765 918 935 990 1122 1485 1530 1683 1870 2295 2805 2970 3366 4590 5049 5610 8415 10098 16830 25245 50490 198553 397106 595659 992765 1191318 1786977 1985530 2184083 2978295 3375401 3573954 4368166 5360931 5956590 6552249 6750802 8934885 10126203 10721862 10920415 13104498 16877005 17869770 19656747 20252406 21840830 26804655 30378609 32761245 33754010 37129411 39313494 50631015 53609310 58970241 60757218 65522490 74258822 91135827 98283735 101262030 111388233 117940482 151893045 182271654 185647055 196567470 222776466 294851205 303786090 334164699 371294110 455679135 556941165 589702410 668329398 911358270 1002494097 1113882330 1670823495 2004988194 3341646990 5012470485 10024940970