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10000000000 = 210510
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.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 5120 6250 6400 8000 10000 12500 12800 15625 16000 20000 25000 25600 31250 32000 40000 50000 62500 64000 78125 80000 100000 125000 128000 156250 160000 200000 250000 312500 320000 390625 400000 500000 625000 640000 781250 800000 1000000 1250000 1562500 1600000 1953125 2000000 2500000 3125000 3200000 3906250 4000000 5000000 6250000 7812500 8000000 9765625 10000000 12500000 15625000 16000000 19531250 20000000 25000000 31250000 39062500 40000000 50000000 62500000 78125000 80000000 100000000 125000000 156250000 200000000 250000000 312500000 400000000 500000000 625000000 1000000000 1250000000 2000000000 2500000000 5000000000 10000000000