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10165859328 = 21036914789
BaseRepresentation
bin10010111011110111…
…01011010000000000
3222020110212011100110
421131323223100000
5131304424444303
64400425351320
7506630243562
oct113573532000
928213764313
1010165859328
1143473a9639
121b78638540
13c6017cba1
146c61b9332
153e7721703
hex25deeb400

10165859328 has 88 divisors (see below), whose sum is σ = 27140599840. Its totient is φ = 3383009280.

The previous prime is 10165859321. The next prime is 10165859329. The reversal of 10165859328 is 82395856101.

It is a happy number.

It is a super-2 number, since 2×101658593282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10165859321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2120358 + ... + 2125146.

Almost surely, 210165859328 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 10165859328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13570299920).

10165859328 is an abundant number, since it is smaller than the sum of its proper divisors (16974740512).

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

10165859328 is an equidigital number, since it uses as much as digits as its factorization.

10165859328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503 (or 5485 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 10165859328 in words is "ten billion, one hundred sixty-five million, eight hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 691 768 1024 1382 1536 2073 2764 3072 4146 4789 5528 8292 9578 11056 14367 16584 19156 22112 28734 33168 38312 44224 57468 66336 76624 88448 114936 132672 153248 176896 229872 265344 306496 353792 459744 530688 612992 707584 919488 1061376 1225984 1838976 2122752 2451968 3309199 3677952 4903936 6618398 7355904 9927597 13236796 14711808 19855194 26473592 39710388 52947184 79420776 105894368 158841552 211788736 317683104 423577472 635366208 847154944 1270732416 1694309888 2541464832 3388619776 5082929664 10165859328