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3102248497984 = 261925318113997
BaseRepresentation
bin101101001001001100011…
…010110111001101000000
3101222120110000212011001221
4231021030122313031000
5401311401103413414
610333053035404424
7440062416102226
oct55111432671500
911876400764057
103102248497984
11a96724446679
124212a08b3714
1319670512180c
14aa21481ab16
1555a6b07a224
hex2d24c6b7340

3102248497984 has 168 divisors, whose sum is σ = 6656713009128. Its totient is φ = 1433692016640.

The previous prime is 3102248497981. The next prime is 3102248498021. The reversal of 3102248497984 is 4897948422013.

It can be written as a sum of positive squares in 4 ways, for example, as 79073440000 + 3023175057984 = 281200^2 + 1738728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3102248497981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221629674 + ... + 221643670.

It is an arithmetic number, because the mean of its divisors is an integer number (39623291721).

Almost surely, 23102248497984 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 3102248497984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328356504564).

3102248497984 is an abundant number, since it is smaller than the sum of its proper divisors (3554464511144).

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

3102248497984 is a wasteful number, since it uses less digits than its factorization.

3102248497984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14281 (or 14252 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 61.

The spelling of 3102248497984 in words is "three trillion, one hundred two billion, two hundred forty-eight million, four hundred ninety-seven thousand, nine hundred eighty-four".