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10015050816 = 263323594271
BaseRepresentation
bin10010101001111000…
…11000110001000000
3221211222002021222000
421110330120301000
5131002323111231
64333441144000
7503116345611
oct112474306100
927758067860
1010015050816
11427a264a01
121b3602b000
13c37b59c94
146b015dc08
153d93826e6
hex254f18c40

10015050816 has 224 divisors, whose sum is σ = 31250534400. Its totient is φ = 3138347520.

The previous prime is 10015050769. The next prime is 10015050817. The reversal of 10015050816 is 61805051001.

10015050816 is a `hidden beast` number, since 1 + 0 + 0 + 150 + 508 + 1 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10015050816.

It is not an unprimeable number, because it can be changed into a prime (10015050817) 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 31 ways as a sum of consecutive naturals, for example, 2342761 + ... + 2347031.

Almost surely, 210015050816 is an apocalyptic number.

10015050816 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 10015050816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15625267200).

10015050816 is an abundant number, since it is smaller than the sum of its proper divisors (21235483584).

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

10015050816 is a wasteful number, since it uses less digits than its factorization.

10015050816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 10015050816 in words is "ten billion, fifteen million, fifty thousand, eight hundred sixteen".