Search a number
-
+
10085289968 = 241323729767
BaseRepresentation
bin10010110010010000…
…10100111111110000
3222000212020210222002
421121020110333300
5131123313234333
64344430433132
7504631356515
oct113110247760
928025223862
1010085289968
114305979696
121b556627a8
13c49580600
146b960530c
153e06090e8
hex259214ff0

10085289968 has 30 divisors (see below), whose sum is σ = 21158973864. Its totient is φ = 4654747968.

The previous prime is 10085289947. The next prime is 10085289979. The reversal of 10085289968 is 86998258001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1862180 + ... + 1867587.

Almost surely, 210085289968 is an apocalyptic number.

It is an amenable number.

10085289968 is an abundant number, since it is smaller than the sum of its proper divisors (11073683896).

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

10085289968 is a wasteful number, since it uses less digits than its factorization.

10085289968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729801 (or 3729782 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 56.

The spelling of 10085289968 in words is "ten billion, eighty-five million, two hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 3729767 7459534 14919068 29838136 48486971 59676272 96973942 193947884 387895768 630330623 775791536 1260661246 2521322492 5042644984 10085289968