Search a number
-
+
10625963652 = 22322291288933
BaseRepresentation
bin10011110010101101…
…10101011010000100
31000102112121212211100
421321112311122010
5133230221314102
64514223140100
7524215125603
oct117126653204
930375555740
1010625963652
114563096847
122086744630
1310045a6a75
1472b347a3a
15422d08a1c
hex2795b5684

10625963652 has 36 divisors (see below), whose sum is σ = 26977388620. Its totient is φ = 3526517952.

The previous prime is 10625963639. The next prime is 10625963653. The reversal of 10625963652 is 25636952601.

10625963652 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 5 + 9 + 636 + 5 + 2 = 666.

10625963652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9197577216 + 1428386436 = 95904^2 + 37794^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106259636522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10625963598 and 10625963607.

It is not an unprimeable number, because it can be changed into a prime (10625963653) 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 11 ways as a sum of consecutive naturals, for example, 636223 + ... + 652710.

Almost surely, 210625963652 is an apocalyptic number.

10625963652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10625963652 is an abundant number, since it is smaller than the sum of its proper divisors (16351424968).

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

10625963652 is a wasteful number, since it uses less digits than its factorization.

10625963652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289172 (or 1289167 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 10625963652 in words is "ten billion, six hundred twenty-five million, nine hundred sixty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 229 458 687 916 1374 2061 2748 4122 8244 1288933 2577866 3866799 5155732 7733598 11600397 15467196 23200794 46401588 295165657 590331314 885496971 1180662628 1770993942 2656490913 3541987884 5312981826 10625963652