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6426266112 = 29337253179
BaseRepresentation
bin1011111110000100…
…10000101000000000
3121120212011010212000
411333002100220000
5101130111003422
62541401104000
7315151234500
oct57702205000
917525133760
106426266112
1127a8506932
1212b4188000
137b54a5936
1444d68da00
15279288cac
hex17f090a00

6426266112 has 480 divisors, whose sum is σ = 22671316800. Its totient is φ = 1791369216.

The previous prime is 6426266087. The next prime is 6426266123. The reversal of 6426266112 is 2116626246.

6426266112 is a `hidden beast` number, since 642 + 6 + 2 + 6 + 6 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×64262661122 = 82593792284479193088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35900839 + ... + 35901017.

It is an arithmetic number, because the mean of its divisors is an integer number (47231910).

Almost surely, 26426266112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6426266112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11335658400).

6426266112 is an abundant number, since it is smaller than the sum of its proper divisors (16245050688).

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

6426266112 is a wasteful number, since it uses less digits than its factorization.

6426266112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 244 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 6426266112 is about 80163.9951100243. The cubic root of 6426266112 is about 1859.1719935782.

The spelling of 6426266112 in words is "six billion, four hundred twenty-six million, two hundred sixty-six thousand, one hundred twelve".