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7781830056 = 2336711133143
BaseRepresentation
bin1110011111101010…
…10100110110101000
3202002022212221000000
413033311110312220
5111414122030211
63324103343000
7363561315120
oct71765246650
922068787000
107781830056
113333705110
121612151a60
13970296690
1453b715c80
153082a2656
hex1cfd54da8

7781830056 has 896 divisors, whose sum is σ = 31025111040. Its totient is φ = 1763596800.

The previous prime is 7781830037. The next prime is 7781830061. The reversal of 7781830056 is 6500381877.

It is a junction number, because it is equal to n+sod(n) for n = 7781829993 and 7781830020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 180972771 + ... + 180972813.

It is an arithmetic number, because the mean of its divisors is an integer number (34626240).

Almost surely, 27781830056 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 7781830056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15512555520).

7781830056 is an abundant number, since it is smaller than the sum of its proper divisors (23243280984).

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

7781830056 is a wasteful number, since it uses less digits than its factorization.

7781830056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 7781830056 is about 88214.6816352017. The cubic root of 7781830056 is about 1981.6513496395.

The spelling of 7781830056 in words is "seven billion, seven hundred eighty-one million, eight hundred thirty thousand, fifty-six".