Search a number
-
+
12678064992 = 253244021059
BaseRepresentation
bin10111100111010101…
…11110101101100000
31012201120000102122200
423303222332231200
5201431041034432
65454010533200
7626113526415
oct136352765540
935646012580
1012678064992
11541648996a
122559a37200
131270793b08
14883ac610c
154e305da7c
hex2f3abeb60

12678064992 has 36 divisors (see below), whose sum is σ = 36053248140. Its totient is φ = 4226021568.

The previous prime is 12678064981. The next prime is 12678064999. The reversal of 12678064992 is 29946087621.

12678064992 is a `hidden beast` number, since 12 + 67 + 80 + 6 + 499 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12678064999) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22010242 + ... + 22010817.

It is an arithmetic number, because the mean of its divisors is an integer number (1001479115).

Almost surely, 212678064992 is an apocalyptic number.

12678064992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12678064992 is an abundant number, since it is smaller than the sum of its proper divisors (23375183148).

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

12678064992 is a wasteful number, since it uses less digits than its factorization.

12678064992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44021075 (or 44021064 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 12678064992 in words is "twelve billion, six hundred seventy-eight million, sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 44021059 88042118 132063177 176084236 264126354 352168472 396189531 528252708 704336944 792379062 1056505416 1408673888 1584758124 2113010832 3169516248 4226021664 6339032496 12678064992