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996738449904 = 2432192916775223
BaseRepresentation
bin11101000000100100011…
…11011100000111110000
310112021202102020111212100
432200102033130013300
5112312310020344104
62041521220100400
7132004052014431
oct16402217340760
93467672214770
10996738449904
1135479496304a
12141211834700
1372cb8659642
14363571d9488
151adda25b139
hexe8123dc1f0

996738449904 has 240 divisors, whose sum is σ = 3055779417600. Its totient is φ = 302081923584.

The previous prime is 996738449899. The next prime is 996738449983. The reversal of 996738449904 is 409944837699.

996738449904 is a `hidden beast` number, since 9 + 9 + 67 + 38 + 449 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 13212837 + ... + 13288059.

It is an arithmetic number, because the mean of its divisors is an integer number (12732414240).

Almost surely, 2996738449904 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 996738449904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527889708800).

996738449904 is an abundant number, since it is smaller than the sum of its proper divisors (2059040967696).

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

996738449904 is a wasteful number, since it uses less digits than its factorization.

996738449904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75452 (or 75443 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 996738449904 in words is "nine hundred ninety-six billion, seven hundred thirty-eight million, four hundred forty-nine thousand, nine hundred four".