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996591816 = 2333112172243
BaseRepresentation
bin111011011001101…
…100100011001000
32120110021002222000
4323121230203020
54020111414231
6242520231000
733460614333
oct7331544310
92513232860
10996591816
11471606200
1223990b460
1312b615acc
149650161a
155c75b6e6
hex3b66c8c8

996591816 has 192 divisors, whose sum is σ = 3223281600. Its totient is φ = 284106240.

The previous prime is 996591811. The next prime is 996591851. The reversal of 996591816 is 618195699.

996591816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (996591811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443191 + ... + 445433.

It is an arithmetic number, because the mean of its divisors is an integer number (16787925).

Almost surely, 2996591816 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 996591816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611640800).

996591816 is an abundant number, since it is smaller than the sum of its proper divisors (2226689784).

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

996591816 is a wasteful number, since it uses less digits than its factorization.

996591816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2276 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 54.

The square root of 996591816 is about 31568.8424874907. The cubic root of 996591816 is about 998.8626455820.

It can be divided in two parts, 99659 and 1816, that added together give a triangular number (101475 = T450).

The spelling of 996591816 in words is "nine hundred ninety-six million, five hundred ninety-one thousand, eight hundred sixteen".