Search a number
-
+
2097570816 = 2103411319
BaseRepresentation
bin111110100000110…
…0110010000000000
312102011221122020000
41331001212100000
513243434231231
6544050120000
7102660025545
oct17501462000
95364848200
102097570816
1198702a000
124a6580000
1327574a283
1415c816bcc
15c42376e6
hex7d066400

2097570816 has 440 divisors, whose sum is σ = 7252275360. Its totient is φ = 602173440.

The previous prime is 2097570803. The next prime is 2097570869. The reversal of 2097570816 is 6180757902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110398455 + ... + 110398473.

It is an arithmetic number, because the mean of its divisors is an integer number (16482444).

Almost surely, 22097570816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2097570816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626137680).

2097570816 is an abundant number, since it is smaller than the sum of its proper divisors (5154704544).

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

2097570816 is an equidigital number, since it uses as much as digits as its factorization.

2097570816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 2097570816 is about 45799.2447099294. The cubic root of 2097570816 is about 1280.0852026617.

The spelling of 2097570816 in words is "two billion, ninety-seven million, five hundred seventy thousand, eight hundred sixteen".