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9490950144 = 2113713163
BaseRepresentation
bin10001101011011010…
…00110100000000000
3220111102220020000000
420311231012200000
5123414140401034
64205440000000
7454123513404
oct106555064000
926442806000
109490950144
114030437355
121a0a600000
13b833b7140
146606d3104
153a8358599
hex235b46800

9490950144 has 384 divisors, whose sum is σ = 30838953600. Its totient is φ = 2902376448.

The previous prime is 9490950127. The next prime is 9490950181. The reversal of 9490950144 is 4410590949.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 9490950144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58226607 + ... + 58226769.

It is an arithmetic number, because the mean of its divisors is an integer number (80309775).

Almost surely, 29490950144 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 9490950144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15419476800).

9490950144 is an abundant number, since it is smaller than the sum of its proper divisors (21348003456).

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

9490950144 is an equidigital number, since it uses as much as digits as its factorization.

9490950144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9490950144 is about 97421.5076048405. The cubic root of 9490950144 is about 2117.2390592796.

The spelling of 9490950144 in words is "nine billion, four hundred ninety million, nine hundred fifty thousand, one hundred forty-four".