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95330518272 = 2833114153577
BaseRepresentation
bin101100011001000100…
…1000100010100000000
3100010001202012002112000
41120302021010110000
53030214103041042
6111443315504000
76613244015103
oct1306211042400
9303052162460
1095330518272
113747a6573a0
1216585bb8000
138cb32a57c2
144884c3873a
15272e31e74c
hex1632244500

95330518272 has 576 divisors, whose sum is σ = 321538533120. Its totient is φ = 27603763200.

The previous prime is 95330518267. The next prime is 95330518273. The reversal of 95330518272 is 27281503359.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95330518273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165217248 + ... + 165217824.

It is an arithmetic number, because the mean of its divisors is an integer number (558226620).

Almost surely, 295330518272 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 95330518272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160769266560).

95330518272 is an abundant number, since it is smaller than the sum of its proper divisors (226208014848).

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

95330518272 is a wasteful number, since it uses less digits than its factorization.

95330518272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 95330518272 in words is "ninety-five billion, three hundred thirty million, five hundred eighteen thousand, two hundred seventy-two".