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9816023040 = 213351737127
BaseRepresentation
bin10010010010001010…
…01010000000000000
3221100002120122011220
421021011022000000
5130100400214130
64302011235040
7465151550655
oct111105120000
927302518156
109816023040
11418798643a
121a9b448a80
13c05853375
14691951c2c
153c6b6b410
hex24914a000

9816023040 has 448 divisors, whose sum is σ = 34424745984. Its totient is φ = 2378170368.

The previous prime is 9816023033. The next prime is 9816023083. The reversal of 9816023040 is 403206189.

It is a junction number, because it is equal to n+sod(n) for n = 9816022992 and 9816023010.

It is a congruent number.

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, 77291457 + ... + 77291583.

Almost surely, 29816023040 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 9816023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17212372992).

9816023040 is an abundant number, since it is smaller than the sum of its proper divisors (24608722944).

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

9816023040 is a wasteful number, since it uses less digits than its factorization.

9816023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 9816023040 is about 99075.8448866322. The cubic root of 9816023040 is about 2141.1406153430.

The spelling of 9816023040 in words is "nine billion, eight hundred sixteen million, twenty-three thousand, forty".