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2164651542 = 232883136193
BaseRepresentation
bin1000000100000101…
…1111011000010110
312120212011200200100
42001001133120112
513413122322132
6554443554530
7104433143304
oct20101373026
95525150610
102164651542
11a10986819
12504b2ba46
13286606101
141676b9274
15ca08837c
hex8105f616

2164651542 has 24 divisors (see below), whose sum is σ = 4695424344. Its totient is φ = 720728064.

The previous prime is 2164651529. The next prime is 2164651549. The reversal of 2164651542 is 2451564612.

2164651542 is a `hidden beast` number, since 2 + 1 + 64 + 6 + 51 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2164651497 and 2164651506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164651549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52203 + ... + 83990.

It is an arithmetic number, because the mean of its divisors is an integer number (195642681).

Almost surely, 22164651542 is an apocalyptic number.

2164651542 is an abundant number, since it is smaller than the sum of its proper divisors (2530772802).

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

2164651542 is a wasteful number, since it uses less digits than its factorization.

2164651542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137084 (or 137081 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 2164651542 is about 46525.8158660329. The cubic root of 2164651542 is about 1293.5880601620.

The spelling of 2164651542 in words is "two billion, one hundred sixty-four million, six hundred fifty-one thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 883 1766 2649 5298 7947 15894 136193 272386 408579 817158 1225737 2451474 120258419 240516838 360775257 721550514 1082325771 2164651542