Search a number
-
+
12392372538 = 232751323137
BaseRepresentation
bin10111000101010010…
…01001100100111010
31011222122102202021200
423202221021210322
5200334421410123
65405403315030
7616044300000
oct134251114472
934878382250
1012392372538
11528a1979a7
12249a21ba76
131226535420
14857b98a70
154c7e29143
hex2e2a4993a

12392372538 has 288 divisors, whose sum is σ = 35458166016. Its totient is φ = 3103398144.

The previous prime is 12392372533. The next prime is 12392372563. The reversal of 12392372538 is 83527329321.

12392372538 is a `hidden beast` number, since 1 + 2 + 392 + 3 + 7 + 253 + 8 = 666.

12392372538 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123923725382 (a number of 21 digits) contains 22 as substring.

Its product of digits (544320) is a multiple of the sum of its prime factors (216).

It is a junction number, because it is equal to n+sod(n) for n = 12392372493 and 12392372502.

It is not an unprimeable number, because it can be changed into a prime (12392372533) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90455206 + ... + 90455342.

It is an arithmetic number, because the mean of its divisors is an integer number (123118632).

Almost surely, 212392372538 is an apocalyptic number.

12392372538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12392372538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729083008).

12392372538 is an abundant number, since it is smaller than the sum of its proper divisors (23065793478).

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

12392372538 is a wasteful number, since it uses less digits than its factorization.

12392372538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 185 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 12392372538 in words is "twelve billion, three hundred ninety-two million, three hundred seventy-two thousand, five hundred thirty-eight".