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12997384992 = 253245129809
BaseRepresentation
bin11000001101011010…
…00101101100100000
31020112210212120100100
430012231011230200
5203104312304432
65545415022400
7640041643464
oct140655055440
936483776310
1012997384992
11556a759799
12262896aa00
1312c1997667
148b42884a4
155110d707c
hex306b45b20

12997384992 has 36 divisors (see below), whose sum is σ = 36961314390. Its totient is φ = 4332461568.

The previous prime is 12997384979. The next prime is 12997384993. The reversal of 12997384992 is 29948379921.

12997384992 is a `hidden beast` number, since 1 + 29 + 97 + 38 + 499 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9675476496 + 3321908496 = 98364^2 + 57636^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12997384993) 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, 22564617 + ... + 22565192.

Almost surely, 212997384992 is an apocalyptic number.

12997384992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12997384992 is an abundant number, since it is smaller than the sum of its proper divisors (23963929398).

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

12997384992 is a wasteful number, since it uses less digits than its factorization.

12997384992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45129825 (or 45129814 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The spelling of 12997384992 in words is "twelve billion, nine hundred ninety-seven million, three hundred eighty-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 45129809 90259618 135389427 180519236 270778854 361038472 406168281 541557708 722076944 812336562 1083115416 1444153888 1624673124 2166230832 3249346248 4332461664 6498692496 12997384992