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2315924260416 = 263513172832381
BaseRepresentation
bin100001101100110111110…
…101111100011001000000
322012101210202002010100000
4201230313311330121000
5300421003102313131
64531530530200000
7326214522260544
oct41546765743100
98171722063300
102315924260416
118131a5961688
12314a12423000
1313a51054b080
148013c889a24
15403986c0ce6
hex21b37d7c640

2315924260416 has 672 divisors, whose sum is σ = 7880717190528. Its totient is φ = 668024340480.

The previous prime is 2315924260387. The next prime is 2315924260451. The reversal of 2315924260416 is 6140624295132.

2315924260416 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 9 + 24 + 2 + 604 + 16 = 666.

2315924260416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 972667546 + ... + 972669926.

It is an arithmetic number, because the mean of its divisors is an integer number (11727257724).

Almost surely, 22315924260416 is an apocalyptic number.

2315924260416 is a gapful number since it is divisible by the number (26) 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 2315924260416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940358595264).

2315924260416 is an abundant number, since it is smaller than the sum of its proper divisors (5564792930112).

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

2315924260416 is a wasteful number, since it uses less digits than its factorization.

2315924260416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2315924260416 in words is "two trillion, three hundred fifteen billion, nine hundred twenty-four million, two hundred sixty thousand, four hundred sixteen".