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6095640096 = 253471343601
BaseRepresentation
bin1011010110101010…
…00001011000100000
3120201211000121020000
411223111001120200
544440440440341
62444510420000
7304025041320
oct55325013040
916654017200
106095640096
112648914697
121221501600
13761b43c40
1441b7c7280
1525a22a8b6
hex16b541620

6095640096 has 480 divisors, whose sum is σ = 22614818688. Its totient is φ = 1567641600.

The previous prime is 6095640091. The next prime is 6095640121. The reversal of 6095640096 is 6900465906.

It is not an unprimeable number, because it can be changed into a prime (6095640091) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 10142196 + ... + 10142796.

Almost surely, 26095640096 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 6095640096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11307409344).

6095640096 is an abundant number, since it is smaller than the sum of its proper divisors (16519178592).

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

6095640096 is a wasteful number, since it uses less digits than its factorization.

6095640096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 6095640096 is about 78074.5803446935. The cubic root of 6095640096 is about 1826.7247192969.

The spelling of 6095640096 in words is "six billion, ninety-five million, six hundred forty thousand, ninety-six".