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2097896976 = 2433722331139
BaseRepresentation
bin111110100001011…
…0101111000010000
312102012120012122000
41331002311320100
513244030200401
6544101114000
7102662554500
oct17502657020
95365505560
102097896976
1198723205a
124a66b8900
13275832876
1415c89da00
15c429e186
hex7d0b5e10

2097896976 has 480 divisors, whose sum is σ = 7599513600. Its totient is φ = 550851840.

The previous prime is 2097896939. The next prime is 2097896987. The reversal of 2097896976 is 6796987902.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15092715 + ... + 15092853.

It is an arithmetic number, because the mean of its divisors is an integer number (15832320).

Almost surely, 22097896976 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 2097896976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799756800).

2097896976 is an abundant number, since it is smaller than the sum of its proper divisors (5501616624).

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

2097896976 is a wasteful number, since it uses less digits than its factorization.

2097896976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The square root of 2097896976 is about 45802.8053289315. The cubic root of 2097896976 is about 1280.1515478117.

The spelling of 2097896976 in words is "two billion, ninety-seven million, eight hundred ninety-six thousand, nine hundred seventy-six".