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19534245120 = 28355134831
BaseRepresentation
bin10010001100010101…
…001110110100000000
31212102101010110200000
4102030111032310000
5310001231320440
612550210400000
71261035225645
oct221425166400
955371113600
1019534245120
118314632535
123951b90000
131ac4052b30
14d344c5dcc
15794e19730
hex48c54ed00

19534245120 has 432 divisors, whose sum is σ = 75496791552. Its totient is φ = 4807434240.

The previous prime is 19534245113. The next prime is 19534245121. The reversal of 19534245120 is 2154243591.

19534245120 is a `hidden beast` number, since 1 + 95 + 34 + 24 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (19534245121) 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 47 ways as a sum of consecutive naturals, for example, 4041105 + ... + 4045935.

Almost surely, 219534245120 is an apocalyptic number.

19534245120 is a gapful number since it is divisible by the number (10) 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 19534245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37748395776).

19534245120 is an abundant number, since it is smaller than the sum of its proper divisors (55962546432).

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

19534245120 is an equidigital number, since it uses as much as digits as its factorization.

19534245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880 (or 4854 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 19534245120 in words is "nineteen billion, five hundred thirty-four million, two hundred forty-five thousand, one hundred twenty".