Search a number
-
+
12691975920 = 243513231371291
BaseRepresentation
bin10111101001000000…
…00010111011110000
31012202112012011212020
423310200002323300
5201443121212140
65455225031440
7626343005151
oct136440027360
935675164766
1012691975920
1154233203a8
122562625580
131273624830
148858a7928
154e43aa6d0
hex2f4802ef0

12691975920 has 320 divisors, whose sum is σ = 44571147264. Its totient is φ = 2964234240.

The previous prime is 12691975883. The next prime is 12691975921. The reversal of 12691975920 is 2957919621.

It is a super-2 number, since 2×126919759202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12691975921) 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, 9830475 + ... + 9831765.

Almost surely, 212691975920 is an apocalyptic number.

12691975920 is a gapful number since it is divisible by the number (10) 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 12691975920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22285573632).

12691975920 is an abundant number, since it is smaller than the sum of its proper divisors (31879171344).

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

12691975920 is a wasteful number, since it uses less digits than its factorization.

12691975920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 51.

The spelling of 12691975920 in words is "twelve billion, six hundred ninety-one million, nine hundred seventy-five thousand, nine hundred twenty".