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95700043296 = 2534111319107127
BaseRepresentation
bin101100100100000101…
…0101100011000100000
3100011000111111220120000
41121020022230120200
53031443202341141
6111544120020000
76625351642404
oct1311012543040
9304014456500
1095700043296
113764a1a7a80
1216669901600
139041a06b70
1448bbd49104
1527519b35b6
hex16482ac620

95700043296 has 960 divisors, whose sum is σ = 354077982720. Its totient is φ = 24925501440.

The previous prime is 95700043289. The next prime is 95700043319. The reversal of 95700043296 is 69234000759.

It is a happy 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 159 ways as a sum of consecutive naturals, for example, 753543585 + ... + 753543711.

It is an arithmetic number, because the mean of its divisors is an integer number (368831232).

Almost surely, 295700043296 is an apocalyptic number.

95700043296 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95700043296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177038991360).

95700043296 is an abundant number, since it is smaller than the sum of its proper divisors (258377939424).

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

95700043296 is a wasteful number, since it uses less digits than its factorization.

95700043296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 95700043296 in words is "ninety-five billion, seven hundred million, forty-three thousand, two hundred ninety-six".