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3129694848 = 27347291487
BaseRepresentation
bin1011101010001011…
…0101101010000000
322002010001222020000
42322202311222000
522402200213343
61234320120000
7140361652530
oct27242655200
98063058200
103129694848
1113666a4075
12734166000
133ab524157
142199274c0
15134b61ed3
hexba8b5a80

3129694848 has 320 divisors, whose sum is σ = 11018937600. Its totient is φ = 862783488.

The previous prime is 3129694837. The next prime is 3129694859. The reversal of 3129694848 is 8484969213.

It is an interprime number because it is at equal distance from previous prime (3129694837) and next prime (3129694859).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3129694794 and 3129694803.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2103961 + ... + 2105447.

It is an arithmetic number, because the mean of its divisors is an integer number (34434180).

Almost surely, 23129694848 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 3129694848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509468800).

3129694848 is an abundant number, since it is smaller than the sum of its proper divisors (7889242752).

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

3129694848 is a wasteful number, since it uses less digits than its factorization.

3129694848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1528 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 3129694848 is about 55943.6756747356. The cubic root of 3129694848 is about 1462.7406531007.

The spelling of 3129694848 in words is "three billion, one hundred twenty-nine million, six hundred ninety-four thousand, eight hundred forty-eight".