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3299299011684 = 223613172614937
BaseRepresentation
bin110000000000101101100…
…010111010110001100100
3102200102001211011102000000
4300000231202322301210
5413023431021333214
611003402124021300
7460236463610634
oct60005542726144
912612054142000
103299299011684
111062252309095
12453514691830
131ac179364610
14b5988cc46c4
155ac505d7809
hex3002d8bac64

3299299011684 has 504 divisors, whose sum is σ = 10067633291688. Its totient is φ = 939599585280.

The previous prime is 3299299011649. The next prime is 3299299011703. The reversal of 3299299011684 is 4861109929923.

3299299011684 is a `hidden beast` number, since 329 + 9 + 299 + 0 + 1 + 16 + 8 + 4 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1136846412900 + 2162452598784 = 1066230^2 + 1470528^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 668277664 + ... + 668282600.

Almost surely, 23299299011684 is an apocalyptic number.

3299299011684 is a gapful number since it is divisible by the number (34) 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 3299299011684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033816645844).

3299299011684 is an abundant number, since it is smaller than the sum of its proper divisors (6768334280004).

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

3299299011684 is a wasteful number, since it uses less digits than its factorization.

3299299011684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 3299299011684 in words is "three trillion, two hundred ninety-nine billion, two hundred ninety-nine million, eleven thousand, six hundred eighty-four".