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996363648 = 27327219929
BaseRepresentation
bin111011011000110…
…100110110000000
32120102211111222100
4323120310312000
54020032114043
6242511310400
733455644200
oct7330646600
92512744870
10996363648
1147146a835
1223981b400
1312b565cb7
1496482400
155c713cd3
hex3b634d80

996363648 has 288 divisors, whose sum is σ = 3514563000. Its totient is φ = 269402112.

The previous prime is 996363637. The next prime is 996363671. The reversal of 996363648 is 846363699.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 996363594 and 996363603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1072048 + ... + 1072976.

Almost surely, 2996363648 is an apocalyptic number.

996363648 is a gapful number since it is divisible by the number (98) 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 996363648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757281500).

996363648 is an abundant number, since it is smaller than the sum of its proper divisors (2518199352).

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

996363648 is a wasteful number, since it uses less digits than its factorization.

996363648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 960 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 996363648 is about 31565.2284642453. The cubic root of 996363648 is about 998.7864104629.

The spelling of 996363648 in words is "nine hundred ninety-six million, three hundred sixty-three thousand, six hundred forty-eight".