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3097737216 = 21133753151
BaseRepresentation
bin1011100010100011…
…1011100000000000
321222212221100121000
42320220323200000
522321010042331
61231215132000
7136523221560
oct27050734000
97885840530
103097737216
11134a656902
12725514000
133a4a15102
142155a8da0
15131e4d0e6
hexb8a3b800

3097737216 has 384 divisors, whose sum is σ = 10755763200. Its totient is φ = 862617600.

The previous prime is 3097737193. The next prime is 3097737233. The reversal of 3097737216 is 6127377903.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20514741 + ... + 20514891.

It is an arithmetic number, because the mean of its divisors is an integer number (28009800).

Almost surely, 23097737216 is an apocalyptic number.

3097737216 is a gapful number since it is divisible by the number (36) 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 3097737216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377881600).

3097737216 is an abundant number, since it is smaller than the sum of its proper divisors (7658025984).

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

3097737216 is a wasteful number, since it uses less digits than its factorization.

3097737216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 3097737216 is about 55657.3195186401. The cubic root of 3097737216 is about 1457.7448790690.

The spelling of 3097737216 in words is "three billion, ninety-seven million, seven hundred thirty-seven thousand, two hundred sixteen".