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10953296964 = 2232174432
BaseRepresentation
bin10100011001101111…
…00000110001000100
31001021100120010201100
422030313200301010
5134413021000324
65010515100100
7535301326251
oct121467406104
931240503640
1010953296964
11471093a145
1221582a1630
131057354b0c
1475c9d4428
154419164c9
hex28cde0c44

10953296964 has 27 divisors (see below), whose sum is σ = 27689088063. Its totient is φ = 3650889672.

The previous prime is 10953296951. The next prime is 10953296987. The reversal of 10953296964 is 46969235901.

The square root of 10953296964 is 104658.

It is a perfect power (a square), and thus also a powerful number.

10953296964 is a `hidden beast` number, since 10 + 9 + 532 + 9 + 6 + 96 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10953296964.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 619227 + ... + 636669.

Almost surely, 210953296964 is an apocalyptic number.

10953296964 is the 104658-th square number.

It is an amenable number.

10953296964 is an abundant number, since it is smaller than the sum of its proper divisors (16735791099).

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

10953296964 is an frugal number, since it uses more digits than its factorization.

10953296964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34896 (or 17448 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 10953296964 in words is "ten billion, nine hundred fifty-three million, two hundred ninety-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 17443 34886 52329 69772 104658 156987 209316 313974 627948 304258249 608516498 912774747 1217032996 1825549494 2738324241 3651098988 5476648482 10953296964