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2973474816 = 21331341227
BaseRepresentation
bin1011000100111011…
…1010000000000000
321200020010011121220
42301032322000000
522042202143231
61211015515040
7133454055534
oct26116720000
97606104556
102973474816
1112964a3704
126ab988a80
13385058070
14202c9dbc4
151260a4896
hexb13ba000

2973474816 has 224 divisors, whose sum is σ = 8785482048. Its totient is φ = 888668160.

The previous prime is 2973474793. The next prime is 2973474827. The reversal of 2973474816 is 6184743792.

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 15 ways as a sum of consecutive naturals, for example, 13098895 + ... + 13099121.

It is an arithmetic number, because the mean of its divisors is an integer number (39220902).

Almost surely, 22973474816 is an apocalyptic number.

2973474816 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 2973474816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392741024).

2973474816 is an abundant number, since it is smaller than the sum of its proper divisors (5812007232).

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

2973474816 is a wasteful number, since it uses less digits than its factorization.

2973474816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 286 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 2973474816 is about 54529.5774419718. The cubic root of 2973474816 is about 1437.9863212107.

The spelling of 2973474816 in words is "two billion, nine hundred seventy-three million, four hundred seventy-four thousand, eight hundred sixteen".