Search a number
-
+
12913744896 = 2103313193161
BaseRepresentation
bin11000000011011100…
…00001110000000000
31020022222111012201000
430001232001300000
5202421404314041
65533230212000
7635005010013
oct140156016000
936288435630
1012913744896
115527521748
122604954000
1312aa561490
148a711537a
15508ab4bb6
hex301b81c00

12913744896 has 704 divisors, whose sum is σ = 45485977600. Its totient is φ = 3583180800.

The previous prime is 12913744891. The next prime is 12913744897. The reversal of 12913744896 is 69844731921.

12913744896 is a `hidden beast` number, since 1 + 2 + 91 + 3 + 74 + 489 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12913744891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211700706 + ... + 211700766.

Almost surely, 212913744896 is an apocalyptic number.

12913744896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12913744896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22742988800).

12913744896 is an abundant number, since it is smaller than the sum of its proper divisors (32572232704).

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

12913744896 is a wasteful number, since it uses less digits than its factorization.

12913744896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

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

The spelling of 12913744896 in words is "twelve billion, nine hundred thirteen million, seven hundred forty-four thousand, eight hundred ninety-six".