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10917747984 = 24311135926959
BaseRepresentation
bin10100010101011111…
…11001110100010000
31001011212200001200110
422022233321310100
5134324420413414
65003205121320
7534360220023
oct121257716420
931155601613
1010917747984
1146a2869720
1221483b9240
13104cb89210
14757dbd1ba
1543d743459
hex28abf9d10

10917747984 has 160 divisors (see below), whose sum is σ = 33697843200. Its totient is φ = 3002042880.

The previous prime is 10917747983. The next prime is 10917748033. The reversal of 10917747984 is 48974771901.

10917747984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10917747983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391497 + ... + 418455.

It is an arithmetic number, because the mean of its divisors is an integer number (210611520).

Almost surely, 210917747984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10917747984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848921600).

10917747984 is an abundant number, since it is smaller than the sum of its proper divisors (22780095216).

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

10917747984 is a wasteful number, since it uses less digits than its factorization.

10917747984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27053 (or 27047 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 57.

The spelling of 10917747984 in words is "ten billion, nine hundred seventeen million, seven hundred forty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 59 66 78 88 104 118 132 143 156 176 177 208 236 264 286 312 354 429 472 528 572 624 649 708 767 858 944 1144 1298 1416 1534 1716 1947 2288 2301 2596 2832 3068 3432 3894 4602 5192 6136 6864 7788 8437 9204 10384 12272 15576 16874 18408 25311 26959 31152 33748 36816 50622 53918 67496 80877 101244 107836 134992 161754 202488 215672 296549 323508 350467 404976 431344 593098 647016 700934 889647 1051401 1186196 1294032 1401868 1590581 1779294 2102802 2372392 2803736 3181162 3558588 3855137 4205604 4744784 4771743 5607472 6362324 7117176 7710274 8411208 9543486 11565411 12724648 14234352 15420548 16822416 17496391 19086972 20677553 23130822 25449296 30841096 34992782 38173944 41355106 46261644 52489173 61682192 62032659 69985564 76347888 82710212 92523288 104978346 124065318 139971128 165420424 185046576 209956692 227453083 248130636 279942256 330840848 419913384 454906166 496261272 682359249 839826768 909812332 992522544 1364718498 1819624664 2729436996 3639249328 5458873992 10917747984