Search a number
-
+
12645365952 = 263173874193
BaseRepresentation
bin10111100011011100…
…01111100011000000
31012122021111011000010
423301232033203000
5201344203202302
65450442024520
7625235560062
oct136156174300
935567434003
1012645365952
1153a9a8566a
12254aaa8140
131266a8547b
1487d613732
154e025016c
hex2f1b8f8c0

12645365952 has 56 divisors (see below), whose sum is σ = 35425629936. Its totient is φ = 3967172608.

The previous prime is 12645365951. The next prime is 12645365989. The reversal of 12645365952 is 25956354621.

It is a happy number.

12645365952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12645365951) 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 7 ways as a sum of consecutive naturals, for example, 1933833 + ... + 1940360.

Almost surely, 212645365952 is an apocalyptic number.

12645365952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12645365952 is an abundant number, since it is smaller than the sum of its proper divisors (22780263984).

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

12645365952 is a wasteful number, since it uses less digits than its factorization.

12645365952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874225 (or 3874215 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 48.

The spelling of 12645365952 in words is "twelve billion, six hundred forty-five million, three hundred sixty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 3874193 7748386 11622579 15496772 23245158 30993544 46490316 61987088 65861281 92980632 123974176 131722562 185961264 197583843 247948352 263445124 371922528 395167686 526890248 743845056 790335372 1053780496 1580670744 2107560992 3161341488 4215121984 6322682976 12645365952