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2019120801792 = 21137134713339
BaseRepresentation
bin11101011000011100111…
…110100110100000000000
321011000201000000020000020
4131120130332212200000
5231040124411124132
64143323222053440
7265606460431623
oct35303476464000
97130630006006
102019120801792
11709339066216
1228739b57a280
1311852ca49983
146da240b1dba
15377c697a52c
hex1d61cfa6800

2019120801792 has 192 divisors, whose sum is σ = 5474966515200. Its totient is φ = 661598945280.

The previous prime is 2019120801779. The next prime is 2019120801839. The reversal of 2019120801792 is 2971080219102.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×20191208017922 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151363059 + ... + 151376397.

It is an arithmetic number, because the mean of its divisors is an integer number (28515450600).

Almost surely, 22019120801792 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 2019120801792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737483257600).

2019120801792 is an abundant number, since it is smaller than the sum of its proper divisors (3455845713408).

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

2019120801792 is a wasteful number, since it uses less digits than its factorization.

2019120801792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13782 (or 13762 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 2019120801792 in words is "two trillion, nineteen billion, one hundred twenty million, eight hundred one thousand, seven hundred ninety-two".