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7941234816 = 273437127163
BaseRepresentation
bin1110110010101010…
…11010000010000000
3202111102211112020000
413121111122002000
5112230424003231
63352000120000
7400535245044
oct73125320200
922442745200
107941234816
113405690289
121657606000
13997309218
1455496c024
1531728d6e6
hex1d955a080

7941234816 has 320 divisors, whose sum is σ = 24612910080. Its totient is φ = 2539579392.

The previous prime is 7941234793. The next prime is 7941234869. The reversal of 7941234816 is 6184321497.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48719151 + ... + 48719313.

It is an arithmetic number, because the mean of its divisors is an integer number (76915344).

Almost surely, 27941234816 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 7941234816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12306455040).

7941234816 is an abundant number, since it is smaller than the sum of its proper divisors (16671675264).

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

7941234816 is a wasteful number, since it uses less digits than its factorization.

7941234816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 332 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 7941234816 is about 89113.6062338406. The cubic root of 7941234816 is about 1995.0908613713.

The spelling of 7941234816 in words is "seven billion, nine hundred forty-one million, two hundred thirty-four thousand, eight hundred sixteen".