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10965022164 = 223529713797
BaseRepresentation
bin10100011011001000…
…01111010111010100
31001022011121211200000
422031210033113110
5134424021202124
65012014251300
7535503102435
oct121544172724
931264554600
1010965022164
114717518498
1221601b6b30
1310598cb9c5
147603a748c
154429806c9
hex28d90f5d4

10965022164 has 72 divisors (see below), whose sum is σ = 28760947488. Its totient is φ = 3652814880.

The previous prime is 10965022157. The next prime is 10965022181. The reversal of 10965022164 is 46122056901.

10965022164 is a `hidden beast` number, since 1 + 0 + 96 + 502 + 2 + 1 + 64 = 666.

10965022164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×109650221642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 2885914 + ... + 2889710.

It is an arithmetic number, because the mean of its divisors is an integer number (399457604).

Almost surely, 210965022164 is an apocalyptic number.

It is an amenable number.

10965022164 is an abundant number, since it is smaller than the sum of its proper divisors (17795925324).

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

10965022164 is a wasteful number, since it uses less digits than its factorization.

10965022164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6787 (or 6773 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10965022164 in words is "ten billion, nine hundred sixty-five million, twenty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 2971 3797 5942 7594 8913 11391 11884 15188 17826 22782 26739 34173 35652 45564 53478 68346 80217 102519 106956 136692 160434 205038 240651 307557 320868 410076 481302 615114 721953 922671 962604 1230228 1443906 1845342 2887812 3690684 11280887 22561774 33842661 45123548 67685322 101527983 135370644 203055966 304583949 406111932 609167898 913751847 1218335796 1827503694 2741255541 3655007388 5482511082 10965022164