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2072086272000 = 21137533701
BaseRepresentation
bin11110001001110001111…
…101110101100000000000
321100002102020212220000000
4132021301331311200000
5232422113041201000
64223523040000000
7302463141464253
oct36116175654000
97302366786000
102072086272000
11729848754998
12295701600000
13120520ca11a4
147240a5bb09a
1538d76843000
hex1e271f75800

2072086272000 has 768 divisors, whose sum is σ = 7756910179200. Its totient is φ = 552407040000.

The previous prime is 2072086271987. The next prime is 2072086272007. The reversal of 2072086272000 is 2726802702.

2072086272000 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 0 + 8 + 627 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×20720862720002 (a number of 25 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 not an unprimeable number, because it can be changed into a prime (2072086272007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559870150 + ... + 559873850.

Almost surely, 22072086272000 is an apocalyptic number.

2072086272000 is a gapful number since it is divisible by the number (20) 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 2072086272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878455089600).

2072086272000 is an abundant number, since it is smaller than the sum of its proper divisors (5684823907200).

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

2072086272000 is an frugal number, since it uses more digits than its factorization.

2072086272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 2072086272000 in words is "two trillion, seventy-two billion, eighty-six million, two hundred seventy-two thousand".