Search a number
-
+
12372744374496 = 25331137208916843
BaseRepresentation
bin1011010000001100000100…
…0010001000100011100000
31121210211012211101020111000
42310003001002020203200
53110203340024440441
642151543231352000
72414621065635342
oct264030102104340
947724184336430
1012372744374496
113a40284708370
121479b07082600
136b998b3b826c
1430abb5ddb292
15166c9badd2b6
hexb40c10888e0

12372744374496 has 384 divisors, whose sum is σ = 40453574515200. Its totient is φ = 3646020833280.

The previous prime is 12372744374491. The next prime is 12372744374561. The reversal of 12372744374496 is 69447344727321.

12372744374496 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 2 + 74 + 4 + 3 + 74 + 496 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12372744374491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 734584251 + ... + 734601093.

It is an arithmetic number, because the mean of its divisors is an integer number (105347850300).

Almost surely, 212372744374496 is an apocalyptic number.

12372744374496 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 12372744374496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20226787257600).

12372744374496 is an abundant number, since it is smaller than the sum of its proper divisors (28080830140704).

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

12372744374496 is a wasteful number, since it uses less digits than its factorization.

12372744374496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18999 (or 18985 counting only the distinct ones).

The product of its digits is 170698752, while the sum is 63.

The spelling of 12372744374496 in words is "twelve trillion, three hundred seventy-two billion, seven hundred forty-four million, three hundred seventy-four thousand, four hundred ninety-six".