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64099606041 = 3693772
BaseRepresentation
bin111011101100101000…
…100101111000011001
320010110012201101000000
4323230220211320121
52022233444343131
645240313003213
74426306442622
oct735450457031
9203405641000
1064099606041
1125203613829
121050a9b3509
136076bb4c93
143161134a49
151a02600ce6
hexeeca25e19

64099606041 has 21 divisors (see below), whose sum is σ = 96115695151. Its totient is φ = 42728513472.

The previous prime is 64099606033. The next prime is 64099606049. The reversal of 64099606041 is 14060699046.

The square root of 64099606041 is 253179.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (64099606033) and next prime (64099606049).

It can be written as a sum of positive squares in only one way, i.e., 7028307225 + 57071298816 = 83835^2 + 238896^2 .

It is not a de Polignac number, because 64099606041 - 23 = 64099606033 is a prime.

It is a super-2 number, since 2×640996060412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64099606049) 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 20 ways as a sum of consecutive naturals, for example, 6831145 + ... + 6840521.

Almost surely, 264099606041 is an apocalyptic number.

64099606041 is the 253179-th square number.

64099606041 is the 126590-th centered octagonal number.

It is an amenable number.

64099606041 is a deficient number, since it is larger than the sum of its proper divisors (32016089110).

64099606041 is an frugal number, since it uses more digits than its factorization.

64099606041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18772 (or 9380 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 64099606041 in words is "sixty-four billion, ninety-nine million, six hundred six thousand, forty-one".

Divisors: 1 3 9 27 81 243 729 9377 28131 84393 253179 759537 2278611 6835833 87928129 263784387 791353161 2374059483 7122178449 21366535347 64099606041