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3199428288 = 263371715559
BaseRepresentation
bin1011111010110011…
…0110011011000000
322020222021210112000
42332230312123000
523023023201123
61245250504000
7142166456160
oct27654663300
98228253460
103199428288
1113a1aa2911
12753595000
133bcacb544
14224cba5a0
1513ad38b43
hexbeb366c0

3199428288 has 224 divisors, whose sum is σ = 11382451200. Its totient is φ = 860295168.

The previous prime is 3199428283. The next prime is 3199428299. The reversal of 3199428288 is 8828249913.

3199428288 is a `hidden beast` number, since 3 + 199 + 428 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×31994282882 = 20472682740109221888, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (3199428283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197853 + ... + 213411.

Almost surely, 23199428288 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 3199428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691225600).

3199428288 is an abundant number, since it is smaller than the sum of its proper divisors (8183022912).

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

3199428288 is a wasteful number, since it uses less digits than its factorization.

3199428288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15604 (or 15588 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 3199428288 is about 56563.4890012984. The cubic root of 3199428288 is about 1473.5248356870.

The spelling of 3199428288 in words is "three billion, one hundred ninety-nine million, four hundred twenty-eight thousand, two hundred eighty-eight".