Search a number
-
+
10604645568 = 2632111673713
BaseRepresentation
bin10011110000001011…
…00000110011000000
31000101001111210220200
421320011200303000
5133204242124233
64512142205200
7523536000006
oct117005406300
930331453820
1010604645568
1145520561a0
12207b583800
13100005170a
14728598a76
15420ee7313
hex278160cc0

10604645568 has 84 divisors (see below), whose sum is σ = 33159621768. Its totient is φ = 3213527040.

The previous prime is 10604645561. The next prime is 10604645621. The reversal of 10604645568 is 86554640601.

10604645568 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 46 + 45 + 568 = 666.

It is a super-2 number, since 2×106046455682 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10604645561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 830521 + ... + 843192.

It is an arithmetic number, because the mean of its divisors is an integer number (394757402).

Almost surely, 210604645568 is an apocalyptic number.

10604645568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10604645568 is an abundant number, since it is smaller than the sum of its proper divisors (22554976200).

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

10604645568 is a wasteful number, since it uses less digits than its factorization.

10604645568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673742 (or 1673729 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 10604645568 in words is "ten billion, six hundred four million, six hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 1673713 3347426 5021139 6694852 10042278 13389704 15063417 18410843 20084556 26779408 30126834 36821686 40169112 53558816 55232529 60253668 73643372 80338224 107117632 110465058 120507336 147286744 160676448 165697587 220930116 241014672 294573488 321352896 331395174 441860232 482029344 589146976 662790348 883720464 964058688 1178293952 1325580696 1767440928 2651161392 3534881856 5302322784 10604645568