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10165461120 = 273451571249
BaseRepresentation
bin10010111011110100…
…01010000010000000
3222020110002221010000
421131322022002000
5131304324223440
64400413040000
7506623664613
oct113572120200
928213087100
1010165461120
114347157441
121b78486000
13c60070869
146c611417a
153e7693730
hex25de8a080

10165461120 has 320 divisors, whose sum is σ = 36563175000. Its totient is φ = 2691366912.

The previous prime is 10165461113. The next prime is 10165461121. The reversal of 10165461120 is 2116456101.

10165461120 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 546 + 112 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6772631616 + 3392829504 = 82296^2 + 58248^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10165461121) 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 39 ways as a sum of consecutive naturals, for example, 8138256 + ... + 8139504.

Almost surely, 210165461120 is an apocalyptic number.

10165461120 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 10165461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18281587500).

10165461120 is an abundant number, since it is smaller than the sum of its proper divisors (26397713880).

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

10165461120 is a wasteful number, since it uses less digits than its factorization.

10165461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 10165461120 in words is "ten billion, one hundred sixty-five million, four hundred sixty-one thousand, one hundred twenty".