Search a number
-
+
12068437640 = 2357233161991
BaseRepresentation
bin10110011110101010…
…11011111010001000
31011011001220011010212
423033111123322020
5144204010001030
65313312300252
7605032012250
oct131725337210
934131804125
1012068437640
115133355906
122409841688
1311a43a717c
14826b54960
154a978d595
hex2cf55be88

12068437640 has 256 divisors, whose sum is σ = 34009251840. Its totient is φ = 3763584000.

The previous prime is 12068437639. The next prime is 12068437813. The reversal of 12068437640 is 4673486021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12177545 + ... + 12178535.

It is an arithmetic number, because the mean of its divisors is an integer number (132848640).

Almost surely, 212068437640 is an apocalyptic number.

12068437640 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 12068437640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17004625920).

12068437640 is an abundant number, since it is smaller than the sum of its proper divisors (21940814200).

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

12068437640 is a wasteful number, since it uses less digits than its factorization.

12068437640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 12068437640 in words is "twelve billion, sixty-eight million, four hundred thirty-seven thousand, six hundred forty".