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9012896768 = 21053712339
BaseRepresentation
bin10000110010011010…
…11110010000000000
3212021010100121001102
420121031132100000
5121424300144033
64050201353532
7436230233651
oct103115362000
925233317042
109012896768
1139055aa817
1218b64988a8
13b08347515
14617011528
1537b3c7de8
hex21935e400

9012896768 has 88 divisors (see below), whose sum is σ = 18623442240. Its totient is φ = 4357283840.

The previous prime is 9012896759. The next prime is 9012896777. The reversal of 9012896768 is 8676982109.

It is an interprime number because it is at equal distance from previous prime (9012896759) and next prime (9012896777).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3852143 + ... + 3854481.

Almost surely, 29012896768 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 9012896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9311721120).

9012896768 is an abundant number, since it is smaller than the sum of its proper divisors (9610545472).

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

9012896768 is a wasteful number, since it uses less digits than its factorization.

9012896768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 56.

The square root of 9012896768 is about 94936.2774075327. The cubic root of 9012896768 is about 2081.0769176760.

The spelling of 9012896768 in words is "nine billion, twelve million, eight hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 64 71 106 128 142 212 256 284 424 512 568 848 1024 1136 1696 2272 2339 3392 3763 4544 4678 6784 7526 9088 9356 13568 15052 18176 18712 27136 30104 36352 37424 54272 60208 72704 74848 120416 123967 149696 166069 240832 247934 299392 332138 481664 495868 598784 664276 963328 991736 1197568 1328552 1926656 1983472 2395136 2657104 3853312 3966944 5314208 7933888 8801657 10628416 15867776 17603314 21256832 31735552 35206628 42513664 63471104 70413256 85027328 126942208 140826512 170054656 281653024 563306048 1126612096 2253224192 4506448384 9012896768