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2652163220196 = 2232721729753633
BaseRepresentation
bin100110100110000001001…
…111110010001011100100
3100101112200211000001022200
4212212001033302023210
5321423112241021241
65350215330054500
7362420035261200
oct46460117621344
910345624001280
102652163220196
11932859aa5816
1236a01011a430
13163137186039
1492518889b00
1548ec75944b6
hex269813f22e4

2652163220196 has 324 divisors, whose sum is σ = 8369911901988. Its totient is φ = 705821147136.

The previous prime is 2652163220191. The next prime is 2652163220207. The reversal of 2652163220196 is 6910223612562.

2652163220196 is a `hidden beast` number, since 2 + 6 + 5 + 2 + 1 + 632 + 2 + 0 + 1 + 9 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15696581796 + 2636466638400 = 125286^2 + 1623720^2 .

It is not an unprimeable number, because it can be changed into a prime (2652163220191) 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 107 ways as a sum of consecutive naturals, for example, 49423396 + ... + 49477028.

Almost surely, 22652163220196 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 2652163220196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184955950994).

2652163220196 is an abundant number, since it is smaller than the sum of its proper divisors (5717748681792).

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

2652163220196 is a wasteful number, since it uses less digits than its factorization.

2652163220196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53788 (or 53759 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 2652163220196 in words is "two trillion, six hundred fifty-two billion, one hundred sixty-three million, two hundred twenty thousand, one hundred ninety-six".