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2950810164 = 223281966949
BaseRepresentation
bin1010111111100001…
…1100101000110100
321121122110200120100
42233320130220310
522020401411124
61204450034100
7133060321041
oct25770345064
97548420510
102950810164
111284723395
126a4278930
13380450b23
141ddc801c8
151240c91c9
hexafe1ca34

2950810164 has 18 divisors (see below), whose sum is σ = 7458992450. Its totient is φ = 983603376.

The previous prime is 2950810151. The next prime is 2950810169. The reversal of 2950810164 is 4610180592.

It can be written as a sum of positive squares in only one way, i.e., 2332890000 + 617920164 = 48300^2 + 24858^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 81966949 = 2950810164 / (2 + 9 + 5 + 0 + 8 + 1 + 0 + 1 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2950810169) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 40983439 + ... + 40983510.

Almost surely, 22950810164 is an apocalyptic number.

It is an amenable number.

2950810164 is an abundant number, since it is smaller than the sum of its proper divisors (4508182286).

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

2950810164 is a wasteful number, since it uses less digits than its factorization.

2950810164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81966959 (or 81966954 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2950810164 is about 54321.3601081563. The cubic root of 2950810164 is about 1434.3234216206.

The spelling of 2950810164 in words is "two billion, nine hundred fifty million, eight hundred ten thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 81966949 163933898 245900847 327867796 491801694 737702541 983603388 1475405082 2950810164