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4146041961 = 32617551989
BaseRepresentation
bin1111011100011111…
…1001010001101001
3101200221111202100200
43313013321101221
531442341320321
61523224022413
7204512526615
oct36707712151
911627452320
104146041961
111838372766
12978601a09
13510c65b89
142b48cc345
15193ec1d26
hexf71f9469

4146041961 has 12 divisors (see below), whose sum is σ = 6086903940. Its totient is φ = 2718715680.

The previous prime is 4146041953. The next prime is 4146041987. The reversal of 4146041961 is 1691406414.

4146041961 is a `hidden beast` number, since 4 + 1 + 460 + 4 + 196 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 186486336 + 3959555625 = 13656^2 + 62925^2 .

It is not a de Polignac number, because 4146041961 - 23 = 4146041953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4146049961) 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 11 ways as a sum of consecutive naturals, for example, 3775446 + ... + 3776543.

It is an arithmetic number, because the mean of its divisors is an integer number (507241995).

Almost surely, 24146041961 is an apocalyptic number.

It is an amenable number.

4146041961 is a deficient number, since it is larger than the sum of its proper divisors (1940861979).

4146041961 is a wasteful number, since it uses less digits than its factorization.

4146041961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7552056 (or 7552053 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4146041961 is about 64389.7659647867. The cubic root of 4146041961 is about 1606.4895235552.

The spelling of 4146041961 in words is "four billion, one hundred forty-six million, forty-one thousand, nine hundred sixty-one".

Divisors: 1 3 9 61 183 549 7551989 22655967 67967901 460671329 1382013987 4146041961