Search a number
-
+
12495957214104 = 23337131737396027
BaseRepresentation
bin1011010111010111000100…
…0101110100001110011000
31122020121020202002000101000
42311311301011310032120
53114213210021322404
642324321414225000
72426542316535150
oct265656105641630
948217222060330
1012495957214104
113a88562095431
121499972955160
136c84960b8350
14312b43d11760
1516a0adb7b339
hexb5d71174398

12495957214104 has 256 divisors, whose sum is σ = 45234235468800. Its totient is φ = 3101775980544.

The previous prime is 12495957214079. The next prime is 12495957214123. The reversal of 12495957214104 is 40141275959421.

It is a happy number.

12495957214104 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 59 + 572 + 1 + 4 + 10 + 4 = 666.

12495957214104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124959572141042 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18363862 + ... + 19032165.

It is an arithmetic number, because the mean of its divisors is an integer number (176696232300).

Almost surely, 212495957214104 is an apocalyptic number.

12495957214104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12495957214104 is an abundant number, since it is smaller than the sum of its proper divisors (32738278254696).

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

12495957214104 is a wasteful number, since it uses less digits than its factorization.

12495957214104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37396079 (or 37396069 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 12495957214104 in words is "twelve trillion, four hundred ninety-five billion, nine hundred fifty-seven million, two hundred fourteen thousand, one hundred four".