Search a number
-
+
12443391675936 = 2539132292139
BaseRepresentation
bin1011010100010011001111…
…1100001100111000100000
31122001120120100202000000000
42311010303330030320200
53112333031232112221
642244225404300000
72423001563042244
oct265046374147040
948046510660000
1012443391675936
113a68238225601
12148b742841600
136c3539980500
14310398990424
15168a33e61e26
hexb5133f0ce20

12443391675936 has 1080 divisors, whose sum is σ = 41506204980240. Its totient is φ = 3670115484672.

The previous prime is 12443391675931. The next prime is 12443391675941. The reversal of 12443391675936 is 63957619334421.

12443391675936 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 3 + 39 + 1 + 6 + 7 + 593 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12443391675931) and next prime (12443391675941).

It is not an unprimeable number, because it can be changed into a prime (12443391675931) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 89520803355 + ... + 89520803493.

It is an arithmetic number, because the mean of its divisors is an integer number (38431671278).

Almost surely, 212443391675936 is an apocalyptic number.

12443391675936 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 12443391675936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20753102490120).

12443391675936 is an abundant number, since it is smaller than the sum of its proper divisors (29062813304304).

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

12443391675936 is an frugal number, since it uses more digits than its factorization.

12443391675936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 186 counting only the distinct ones).

The product of its digits is 88179840, while the sum is 63.

The spelling of 12443391675936 in words is "twelve trillion, four hundred forty-three billion, three hundred ninety-one million, six hundred seventy-five thousand, nine hundred thirty-six".