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9131886864 = 243443316273
BaseRepresentation
bin10001000000100110…
…11000100100010000
3212120102020220210000
420200103120210100
5122200230334424
64110052010000
7442203520602
oct104023304420
925512226700
109131886864
113966791841
12192a300900
13b26ba9869
14628b47172
15386a7e3c9
hex2204d8910

9131886864 has 100 divisors (see below), whose sum is σ = 26492997916. Its totient is φ = 3036745728.

The previous prime is 9131886853. The next prime is 9131886871. The reversal of 9131886864 is 4686881319.

It can be written as a sum of positive squares in 2 ways, for example, as 5262051600 + 3869835264 = 72540^2 + 62208^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9131886864.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 553032 + ... + 569304.

Almost surely, 29131886864 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 9131886864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13246498958).

9131886864 is an abundant number, since it is smaller than the sum of its proper divisors (17361111052).

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

9131886864 is a wasteful number, since it uses less digits than its factorization.

9131886864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16726 (or 16711 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 9131886864 is about 95560.9065674871. The cubic root of 9131886864 is about 2090.1951744961.

The spelling of 9131886864 in words is "nine billion, one hundred thirty-one million, eight hundred eighty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 433 648 866 1296 1299 1732 2598 3464 3897 5196 6928 7794 10392 11691 15588 16273 20784 23382 31176 32546 35073 46764 48819 62352 65092 70146 93528 97638 130184 140292 146457 187056 195276 260368 280584 292914 390552 439371 561168 585828 781104 878742 1171656 1318113 1757484 2343312 2636226 3514968 5272452 7029936 7046209 10544904 14092418 21089808 21138627 28184836 42277254 56369672 63415881 84554508 112739344 126831762 169109016 190247643 253663524 338218032 380495286 507327048 570742929 760990572 1014654096 1141485858 1521981144 2282971716 3043962288 4565943432 9131886864