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20164025112 = 23371123538951
BaseRepresentation
bin10010110001110111…
…101001101100011000
31221001021011121101220
4102301313221230120
5312243442300422
613132505012040
71312453246140
oct226167515430
957037147356
1020164025112
118608080570
123aa8a84020
131b9467750a
14d93dc1920
157d036ae5c
hex4b1de9b18

20164025112 has 256 divisors, whose sum is σ = 66826321920. Its totient is φ = 4914624000.

The previous prime is 20164025107. The next prime is 20164025137. The reversal of 20164025112 is 21152046102.

It is a super-2 number, since 2×201640251122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2248237 + ... + 2257187.

It is an arithmetic number, because the mean of its divisors is an integer number (261040320).

Almost surely, 220164025112 is an apocalyptic number.

20164025112 is a gapful number since it is divisible by the number (22) 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 20164025112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33413160960).

20164025112 is an abundant number, since it is smaller than the sum of its proper divisors (46662296808).

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

20164025112 is a wasteful number, since it uses less digits than its factorization.

20164025112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9054 (or 9050 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 20164025112 in words is "twenty billion, one hundred sixty-four million, twenty-five thousand, one hundred twelve".