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19906560000 = 2173554
BaseRepresentation
bin10010100010100001…
…100000000000000000
31220101022201000200000
4102202201200000000
5311232034410000
613051150400000
71303205653035
oct224241400000
956338630600
1019906560000
118495809188
123a36800000
131b5321ccb2
14d6bb2138c
157b7960000
hex4a2860000

19906560000 has 540 divisors, whose sum is σ = 74523060612. Its totient is φ = 5308416000.

The previous prime is 19906559999. The next prime is 19906560013. The reversal of 19906560000 is 6560991.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (5!)3 ⋅ (2!)4.

19906560000 is a `hidden beast` number, since 1 + 9 + 90 + 6 + 560 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×199065600002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3981311998 + ... + 3981312002.

Almost surely, 219906560000 is an apocalyptic number.

19906560000 is a gapful number since it is divisible by the number (10) 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 19906560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37261530306).

19906560000 is an abundant number, since it is smaller than the sum of its proper divisors (54616500612).

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

19906560000 is an frugal number, since it uses more digits than its factorization.

19906560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 19906560000 in words is "nineteen billion, nine hundred six million, five hundred sixty thousand".