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9161507072 = 28414353383
BaseRepresentation
bin10001000100001000…
…11000000100000000
3212122110222210001202
420202010120010000
5122230321211242
64113030520332
7443013345104
oct104204300400
925573883052
109161507072
113981482953
1219382060a8
13b3007aa03
1462ca57904
15389480932
hex222118100

9161507072 has 144 divisors (see below), whose sum is σ = 19581585408. Its totient is φ = 4271554560.

The previous prime is 9161507059. The next prime is 9161507083. The reversal of 9161507072 is 2707051619.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23920193 + ... + 23920575.

It is an arithmetic number, because the mean of its divisors is an integer number (135983232).

Almost surely, 29161507072 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 9161507072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9790792704).

9161507072 is an abundant number, since it is smaller than the sum of its proper divisors (10420078336).

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

9161507072 is a wasteful number, since it uses less digits than its factorization.

9161507072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 38.

The square root of 9161507072 is about 95715.7618785955. The cubic root of 9161507072 is about 2092.4526559928.

The spelling of 9161507072 in words is "nine billion, one hundred sixty-one million, five hundred seven thousand, seventy-two".

Divisors: 1 2 4 8 16 32 41 43 53 64 82 86 106 128 164 172 212 256 328 344 383 424 656 688 766 848 1312 1376 1532 1696 1763 2173 2279 2624 2752 3064 3392 3526 4346 4558 5248 5504 6128 6784 7052 8692 9116 10496 11008 12256 13568 14104 15703 16469 17384 18232 20299 24512 28208 31406 32938 34768 36464 40598 49024 56416 62812 65876 69536 72928 81196 93439 98048 112832 125624 131752 139072 145856 162392 186878 225664 251248 263504 278144 291712 324784 373756 451328 502496 527008 556288 583424 649568 675229 747512 832259 872857 1004992 1054016 1299136 1350458 1495024 1664518 1745714 2009984 2108032 2598272 2700916 2990048 3329036 3491428 4019968 4216064 5196544 5401832 5980096 6658072 6982856 10803664 11960192 13316144 13965712 21607328 23920384 26632288 27931424 35787137 43214656 53264576 55862848 71574274 86429312 106529152 111725696 143148548 172858624 213058304 223451392 286297096 572594192 1145188384 2290376768 4580753536 9161507072