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9490488676032 = 263721332971223
BaseRepresentation
bin1000101000011010110100…
…1101001100111011000000
31020121021121110210012221210
42022012231031030323000
52220443010100113112
632103511553050120
71666444104504300
oct212065515147300
936537543705853
109490488676032
113029991494101
1210933a1556940
1353ac4563c000
1424b4b0a31600
15116d092ceb3c
hex8a1ad34cec0

9490488676032 has 1344 divisors, whose sum is σ = 33343969075200. Its totient is φ = 2371953991680.

The previous prime is 9490488676021. The next prime is 9490488676037. The reversal of 9490488676032 is 2306768840949.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (9490488676037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42558245073 + ... + 42558245295.

It is an arithmetic number, because the mean of its divisors is an integer number (24809500800).

Almost surely, 29490488676032 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 9490488676032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16671984537600).

9490488676032 is an abundant number, since it is smaller than the sum of its proper divisors (23853480399168).

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

9490488676032 is a wasteful number, since it uses less digits than its factorization.

9490488676032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 66.

The spelling of 9490488676032 in words is "nine trillion, four hundred ninety billion, four hundred eighty-eight million, six hundred seventy-six thousand, thirty-two".