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11837795112 = 233311131923877
BaseRepresentation
bin10110000011001011…
…00110101100101000
31010112222220022002000
423001211212230220
5143220433420422
65234353011000
7566231412123
oct130145465450
933488808060
1011837795112
115025143750
122364553a60
1311686815c0
148042773ba
154943cecac
hex2c1966b28

11837795112 has 512 divisors, whose sum is σ = 42481152000. Its totient is φ = 2997181440.

The previous prime is 11837795111. The next prime is 11837795119. The reversal of 11837795112 is 21159773811.

It is a super-2 number, since 2×118377951122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11837795111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13497618 + ... + 13498494.

It is an arithmetic number, because the mean of its divisors is an integer number (82971000).

Almost surely, 211837795112 is an apocalyptic number.

11837795112 is a gapful number since it is divisible by the number (12) 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 11837795112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21240576000).

11837795112 is an abundant number, since it is smaller than the sum of its proper divisors (30643356888).

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

11837795112 is a wasteful number, since it uses less digits than its factorization.

11837795112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 948 counting only the distinct ones).

The product of its digits is 105840, while the sum is 45.

The spelling of 11837795112 in words is "eleven billion, eight hundred thirty-seven million, seven hundred ninety-five thousand, one hundred twelve".