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3128392416 = 253435379181
BaseRepresentation
bin1011101001110111…
…0111101011100000
322002000121210121210
42322131313223200
522401332024131
61234232150120
7140344616412
oct27235675340
98060553553
103128392416
111365994586
12733838340
133ab189396
142196a89b2
151349a6146
hexba777ae0

3128392416 has 192 divisors, whose sum is σ = 8717829120. Its totient is φ = 981227520.

The previous prime is 3128392409. The next prime is 3128392417. The reversal of 3128392416 is 6142938213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3128392417) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17283846 + ... + 17284026.

It is an arithmetic number, because the mean of its divisors is an integer number (45405360).

Almost surely, 23128392416 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 3128392416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358914560).

3128392416 is an abundant number, since it is smaller than the sum of its proper divisors (5589436704).

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

3128392416 is a wasteful number, since it uses less digits than its factorization.

3128392416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 3128392416 is about 55932.0338982948. The cubic root of 3128392416 is about 1462.5377169614.

The spelling of 3128392416 in words is "three billion, one hundred twenty-eight million, three hundred ninety-two thousand, four hundred sixteen".