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19077170112 = 26337111341269
BaseRepresentation
bin10001110001000101…
…101000001111000000
31211020112001122122000
4101301011220033000
5303032223420422
612433001544000
71243515161520
oct216105501700
954215048560
1019077170112
1180aa6242a0
123844aa5000
131a50449a50
14ccd905680
15769c2ecac
hex4711683c0

19077170112 has 896 divisors, whose sum is σ = 77424076800. Its totient is φ = 4445798400.

The previous prime is 19077170111. The next prime is 19077170131. The reversal of 19077170112 is 21107177091.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19077170111) 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 127 ways as a sum of consecutive naturals, for example, 70918714 + ... + 70918982.

It is an arithmetic number, because the mean of its divisors is an integer number (86410800).

Almost surely, 219077170112 is an apocalyptic number.

19077170112 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 19077170112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38712038400).

19077170112 is an abundant number, since it is smaller than the sum of its proper divisors (58346906688).

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

19077170112 is a wasteful number, since it uses less digits than its factorization.

19077170112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 36.

The spelling of 19077170112 in words is "nineteen billion, seventy-seven million, one hundred seventy thousand, one hundred twelve".