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9452016640 = 21051131973
BaseRepresentation
bin10001100110110001…
…00101010000000000
3220101201122012021101
420303120211100000
5123324204013030
64201525304144
7453141546553
oct106330452000
926351565241
109452016640
114010465000
1219b9565054
13b78304b71
1465947a69a
153a4c177ca
hex233625400

9452016640 has 352 divisors, whose sum is σ = 26611655040. Its totient is φ = 3211591680.

The previous prime is 9452016619. The next prime is 9452016649. The reversal of 9452016640 is 466102549.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-3 number, since 3×94520166403 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9452016640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9452016649) 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 31 ways as a sum of consecutive naturals, for example, 129479644 + ... + 129479716.

Almost surely, 29452016640 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 9452016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305827520).

9452016640 is an abundant number, since it is smaller than the sum of its proper divisors (17159638400).

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

9452016640 is a wasteful number, since it uses less digits than its factorization.

9452016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 9452016640 is about 97221.4823997248. The cubic root of 9452016640 is about 2114.3399990236.

The spelling of 9452016640 in words is "nine billion, four hundred fifty-two million, sixteen thousand, six hundred forty".