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900000000000000 = 21432514
BaseRepresentation
bin1100110010100010111001010…
…0010011000100000000000000
311101000122011022102211202120100
43030220232110103010000000
51420431100000000000000
612510050143040442400
7360366566000040234
oct31450562423040000
94330564272752510
10900000000000000
11240849947059469
1284b36043019400
132c825835c11733
1411c36337aa45c4
156e0b0eaa2ba00
hex3328b944c4000

900000000000000 has 675 divisors, whose sum is σ = 3249900817764601. Its totient is φ = 240000000000000.

The previous prime is 899999999999983. The next prime is 900000000000019. The reversal of 900000000000000 is 9.

The square root of 900000000000000 is 30000000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 861663891308544 + 38336108691456 = 29354112^2 + 6191616^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 179999999999998 + ... + 180000000000002.

Almost surely, 2900000000000000 is an apocalyptic number.

900000000000000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

900000000000000 is the 30000000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900000000000000

900000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (2349900817764601).

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

900000000000000 is an frugal number, since it uses more digits than its factorization.

900000000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The spelling of 900000000000000 in words is "nine hundred trillion", and thus it is an aban number.