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2160471690000 = 2438541317149
BaseRepresentation
bin11111011100000110001…
…001011100101100010000
321122112112222122100000000
4133130012021130230100
5240344121223040000
64332301302130000
7312042334235541
oct37340611345420
97575488570000
102160471690000
11763283a44698
122aa869720900
131289684533b0
14767d2caa4c8
153b2eb090000
hex1f70625cb10

2160471690000 has 1800 divisors, whose sum is σ = 9006245047800. Its totient is φ = 497166336000.

The previous prime is 2160471689993. The next prime is 2160471690007. The reversal of 2160471690000 is 961740612.

It is an interprime number because it is at equal distance from previous prime (2160471689993) and next prime (2160471690007).

It can be written as a sum of positive squares in 20 ways, for example, as 2107851000336 + 52620689664 = 1451844^2 + 229392^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×21604716900002 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (2160471690007) 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 359 ways as a sum of consecutive naturals, for example, 14499809926 + ... + 14499810074.

It is an arithmetic number, because the mean of its divisors is an integer number (5003469471).

Almost surely, 22160471690000 is an apocalyptic number.

2160471690000 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 2160471690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503122523900).

2160471690000 is an abundant number, since it is smaller than the sum of its proper divisors (6845773357800).

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

2160471690000 is an equidigital number, since it uses as much as digits as its factorization.

2160471690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 2160471690000 in words is "two trillion, one hundred sixty billion, four hundred seventy-one million, six hundred ninety thousand".