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996544912896 = 293613593
BaseRepresentation
bin11101000000001101011…
…01001001111000000000
310112021020221001211000000
432200012231021320000
5112311410444203041
62041450104000000
7131666211665541
oct16400655117000
93467227054000
10996544912896
113546a5694905
12141178a60000
1372c87525cc0
143633961a4c8
151adc827bbb6
hexe806b49e00

996544912896 has 560 divisors, whose sum is σ = 3270422398320. Its totient is φ = 301432098816.

The previous prime is 996544912889. The next prime is 996544912963. The reversal of 996544912896 is 698219445699.

996544912896 is a `hidden beast` number, since 9 + 9 + 6 + 54 + 491 + 2 + 89 + 6 = 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 55 ways as a sum of consecutive naturals, for example, 16890591715 + ... + 16890591773.

It is an arithmetic number, because the mean of its divisors is an integer number (5840039997).

Almost surely, 2996544912896 is an apocalyptic number.

996544912896 is a gapful number since it is divisible by the number (96) 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 996544912896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635211199160).

996544912896 is an abundant number, since it is smaller than the sum of its proper divisors (2273877485424).

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

996544912896 is an frugal number, since it uses more digits than its factorization.

996544912896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 77 counting only the distinct ones).

The product of its digits is 302330880, while the sum is 72.

The spelling of 996544912896 in words is "nine hundred ninety-six billion, five hundred forty-four million, nine hundred twelve thousand, eight hundred ninety-six".