Search a number
-
+
10016525376 = 26321113121607
BaseRepresentation
bin10010101010000100…
…00000110001000000
3221212001212012200100
421111002000301000
5131003212303001
64333532522400
7503135026614
oct112502006100
927761765610
1010016525376
114280081850
121b36620400
13c382551c0
146b0425344
153d9574586
hex255080c40

10016525376 has 168 divisors, whose sum is σ = 33730167744. Its totient is φ = 2801802240.

The previous prime is 10016525371. The next prime is 10016525401. The reversal of 10016525376 is 67352561001.

10016525376 is a `hidden beast` number, since 100 + 16 + 5 + 2 + 537 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10016525376.

It is not an unprimeable number, because it can be changed into a prime (10016525371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21565 + ... + 143171.

It is an arithmetic number, because the mean of its divisors is an integer number (200774808).

Almost surely, 210016525376 is an apocalyptic number.

10016525376 is a gapful number since it is divisible by the number (16) 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 10016525376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16865083872).

10016525376 is an abundant number, since it is smaller than the sum of its proper divisors (23713642368).

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

10016525376 is a wasteful number, since it uses less digits than its factorization.

10016525376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121649 (or 121636 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 10016525376 in words is "ten billion, sixteen million, five hundred twenty-five thousand, three hundred seventy-six".