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2981285376 = 293172931127
BaseRepresentation
bin1011000110110010…
…1100111000000000
321200202210222200220
42301230230320000
522101202113001
61211455143040
7133610336046
oct26154547000
97622728626
102981285376
11129a948913
126b2514a80
133868611b4
14203d34396
15126ae8c36
hexb1b2ce00

2981285376 has 320 divisors, whose sum is σ = 9050849280. Its totient is φ = 867041280.

The previous prime is 2981285353. The next prime is 2981285387. The reversal of 2981285376 is 6735821892.

It is a super-2 number, since 2×29812853762 = 17776124986302922752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 23474625 + ... + 23474751.

It is an arithmetic number, because the mean of its divisors is an integer number (28283904).

Almost surely, 22981285376 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 2981285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525424640).

2981285376 is an abundant number, since it is smaller than the sum of its proper divisors (6069563904).

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

2981285376 is a wasteful number, since it uses less digits than its factorization.

2981285376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 2981285376 is about 54601.1481197969. The cubic root of 2981285376 is about 1439.2442948369.

The spelling of 2981285376 in words is "two billion, nine hundred eighty-one million, two hundred eighty-five thousand, three hundred seventy-six".