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41614152561 = 3214741313669
BaseRepresentation
bin100110110000011001…
…011001001101110001
310222102011100222112200
4212300121121031301
51140211210340221
631041155413413
73002144313642
oct466031311561
9128364328480
1041614152561
1116715116823
1280945b4269
133c02602017
14202ab076c9
15113857e426
hex9b0659371

41614152561 has 12 divisors (see below), whose sum is σ = 60113600820. Its totient is φ = 27740797920.

The previous prime is 41614152553. The next prime is 41614152647. The reversal of 41614152561 is 16525141614.

41614152561 is a `hidden beast` number, since 4 + 1 + 6 + 1 + 41 + 52 + 561 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29523830625 + 12090321936 = 171825^2 + 109956^2 .

It is not a de Polignac number, because 41614152561 - 23 = 41614152553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41614152551) 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 11 ways as a sum of consecutive naturals, for example, 24166 + ... + 289503.

It is an arithmetic number, because the mean of its divisors is an integer number (5009466735).

Almost surely, 241614152561 is an apocalyptic number.

It is an amenable number.

41614152561 is a deficient number, since it is larger than the sum of its proper divisors (18499448259).

41614152561 is a wasteful number, since it uses less digits than its factorization.

41614152561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328416 (or 328413 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 41614152561 in words is "forty-one billion, six hundred fourteen million, one hundred fifty-two thousand, five hundred sixty-one".

Divisors: 1 3 9 14741 44223 132669 313669 941007 2823021 4623794729 13871384187 41614152561