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2097291690000 = 2435541325107
BaseRepresentation
bin11110100001010000010…
…100111000000000010000
321102111110212022210100000
4132201100110320000100
5233330223133040000
64243252115330000
7304344562140033
oct36412024700020
97374425283300
102097291690000
11739502534561
1229a5768b0900
13122a09c3ab00
147371bd5701a
153984e590000
hex1e850538010

2097291690000 has 900 divisors, whose sum is σ = 8237891918256. Its totient is φ = 516155328000.

The previous prime is 2097291689971. The next prime is 2097291690071. The reversal of 2097291690000 is 961927902.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×20972916900002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 410667447 + ... + 410672553.

Almost surely, 22097291690000 is an apocalyptic number.

2097291690000 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 2097291690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118945959128).

2097291690000 is an abundant number, since it is smaller than the sum of its proper divisors (6140600228256).

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

2097291690000 is an equidigital number, since it uses as much as digits as its factorization.

2097291690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 2097291690000 in words is "two trillion, ninety-seven billion, two hundred ninety-one million, six hundred ninety thousand".