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10996312320 = 283257197177
BaseRepresentation
bin10100011110110111…
…00110100100000000
31001101100111112200200
422033123212210000
5140010023443240
65015053045200
7536333053410
oct121733464400
931340445620
1010996312320
11473314a224
12216a786800
131063235ca6
147645d0640
154455b1930
hex28f6e6900

10996312320 has 432 divisors, whose sum is σ = 45776115840. Its totient is φ = 2380824576.

The previous prime is 10996312309. The next prime is 10996312361. The reversal of 10996312320 is 2321369901.

It is a happy number.

10996312320 is a `hidden beast` number, since 10 + 9 + 9 + 6 + 312 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1528572 + ... + 1535748.

Almost surely, 210996312320 is an apocalyptic number.

10996312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10996312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22888057920).

10996312320 is an abundant number, since it is smaller than the sum of its proper divisors (34779803520).

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

10996312320 is a wasteful number, since it uses less digits than its factorization.

10996312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7230 (or 7213 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 10996312320 in words is "ten billion, nine hundred ninety-six million, three hundred twelve thousand, three hundred twenty".