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10161385344 = 2732113125867
BaseRepresentation
bin10010111011010101…
…00110111110000000
3222020011102212012100
421131222212332000
5131302303312334
64400145430400
7506544231105
oct113552467600
928204385170
1010161385344
114344923230
121b7703b400
13c5c274666
146c5772aac
153e713ac99
hex25daa6f80

10161385344 has 192 divisors, whose sum is σ = 32928929280. Its totient is φ = 2979763200.

The previous prime is 10161385343. The next prime is 10161385363. The reversal of 10161385344 is 44358316101.

10161385344 is a `hidden beast` number, since 1 + 0 + 1 + 613 + 8 + 5 + 34 + 4 = 666.

10161385344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 10161385299 and 10161385308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10161385343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379899 + ... + 405765.

It is an arithmetic number, because the mean of its divisors is an integer number (171504840).

Almost surely, 210161385344 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 10161385344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16464464640).

10161385344 is an abundant number, since it is smaller than the sum of its proper divisors (22767543936).

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

10161385344 is a wasteful number, since it uses less digits than its factorization.

10161385344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25929 (or 25914 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10161385344 in words is "ten billion, one hundred sixty-one million, three hundred eighty-five thousand, three hundred forty-four".