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10096568972 = 2272733112269
BaseRepresentation
bin10010110011100110…
…10110101010001100
3222001122110211211222
421121303112222030
5131134210201342
64345512302512
7505126264100
oct113163265214
928048424758
1010096568972
114311282786
121b593a1a38
13c4b9cc389
146bacdd900
153e15d5ed2
hex259cd6a8c

10096568972 has 72 divisors (see below), whose sum is σ = 20911494240. Its totient is φ = 4252227840.

The previous prime is 10096568971. The next prime is 10096569013. The reversal of 10096568972 is 27986569001.

10096568972 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 (10096568971) 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 23 ways as a sum of consecutive naturals, for example, 4448654 + ... + 4450922.

It is an arithmetic number, because the mean of its divisors is an integer number (290437420).

Almost surely, 210096568972 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 10096568972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10455747120).

10096568972 is an abundant number, since it is smaller than the sum of its proper divisors (10814925268).

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

10096568972 is a wasteful number, since it uses less digits than its factorization.

10096568972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 53.

The spelling of 10096568972 in words is "ten billion, ninety-six million, five hundred sixty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 73 98 146 196 292 311 511 622 1022 1244 2044 2177 2269 3577 4354 4538 7154 8708 9076 14308 15239 15883 22703 30478 31766 45406 60956 63532 90812 111181 158921 165637 222362 317842 331274 444724 635684 662548 705659 1112447 1159459 1411318 2224894 2318918 2822636 4449788 4637836 4939613 8116213 9879226 16232426 19758452 32464852 34577291 51513107 69154582 103026214 138309164 206052428 360591749 721183498 1442366996 2524142243 5048284486 10096568972