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12996933408 = 25345014249
BaseRepresentation
bin11000001101010110…
…10111011100100000
31020112210000121220000
430012223113130200
5203104203332113
65545401220000
7640035053064
oct140653273440
936483017800
1012996933408
11556a480488
122628791600
1312c1869c54
148b41abaa4
15511048373
hex306ad7720

12996933408 has 60 divisors (see below), whose sum is σ = 38223627750. Its totient is φ = 4332310272.

The previous prime is 12996933407. The next prime is 12996933431. The reversal of 12996933408 is 80433969921.

12996933408 is a `hidden beast` number, since 1 + 299 + 6 + 9 + 3 + 340 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8184459024 + 4812474384 = 90468^2 + 69372^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12996933407) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2504533 + ... + 2509716.

Almost surely, 212996933408 is an apocalyptic number.

12996933408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12996933408 is an abundant number, since it is smaller than the sum of its proper divisors (25226694342).

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

12996933408 is an equidigital number, since it uses as much as digits as its factorization.

12996933408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5014271 (or 5014254 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 12996933408 in words is "twelve billion, nine hundred ninety-six million, nine hundred thirty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 5014249 10028498 15042747 20056996 30085494 40113992 45128241 60170988 80227984 90256482 120341976 135384723 160455968 180512964 240683952 270769446 361025928 406154169 481367904 541538892 722051856 812308338 1083077784 1444103712 1624616676 2166155568 3249233352 4332311136 6498466704 12996933408