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996986403072 = 28351131431093
BaseRepresentation
bin11101000001000010000…
…01010011100100000000
310112022101200210211200000
432200201001103210000
5112313312004344242
62042001554400000
7132013152413112
oct16404101234400
93468350724600
10996986403072
11354901918a20
12141280890000
1373027b334aa
143637c1013b2
151ae01dd8a4c
hexe821053900

996986403072 has 864 divisors, whose sum is σ = 3438139600896. Its totient is φ = 285310771200.

The previous prime is 996986403071. The next prime is 996986403097. The reversal of 996986403072 is 270304689699.

996986403072 is a `hidden beast` number, since 99 + 69 + 86 + 403 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (996986403071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 912155358 + ... + 912156450.

Almost surely, 2996986403072 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 996986403072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719069800448).

996986403072 is an abundant number, since it is smaller than the sum of its proper divisors (2441153197824).

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

996986403072 is a wasteful number, since it uses less digits than its factorization.

996986403072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 996986403072 in words is "nine hundred ninety-six billion, nine hundred eighty-six million, four hundred three thousand, seventy-two".