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BaseRepresentation
bin10010101000000101…
…11110010000000000
3221210220202122010101
421110002332100000
5130440000000000
64332142412144
7502544411644
oct112402762000
927726678111
1010000000000
114271815011
121b30b91054
13c349ba483
146ac162c24
153d7dace6a
hex2540be400

10000000000 has 121 divisors (see below), whose sum is σ = 24987792457. Its totient is φ = 4000000000.

The previous prime is 9999999967. The next prime is 10000000019. The reversal of 10000000000 is 1.

It is a happy number.

The square root of 10000000000 is 100000.

It is a perfect power (a square, a 5-th power, a 10-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 57517056 + 9942482944 = 7584^2 + 99712^2 .

It is a Harshad number since it is a multiple of its sum of digits (1).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 10 ways as a sum of consecutive naturals, for example, 1999999998 + ... + 2000000002.

Almost surely, 210000000000 is an apocalyptic number.

10000000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000000000 is the 100000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000000000

10000000000 is an abundant number, since it is smaller than the sum of its proper divisors (14987792457).

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

10000000000 is an frugal number, since it uses more digits than its factorization.

10000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 1.

The spelling of 10000000000 in words is "ten billion", and thus it is an aban number and an uban number.