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640198053 = 331121711527
BaseRepresentation
bin100110001010001…
…010010110100101
31122121122102122000
4212022022112211
52302342314203
6143305355513
721602410425
oct4612122645
91577572560
10640198053
112a9414300
1215a498b99
13a2831621
146104c485
153b30d4a3
hex2628a5a5

640198053 has 48 divisors (see below), whose sum is σ = 1103921280. Its totient is φ = 365143680.

The previous prime is 640198043. The next prime is 640198057. The reversal of 640198053 is 350891046.

640198053 is a `hidden beast` number, since 640 + 1 + 9 + 8 + 0 + 5 + 3 = 666.

It is not a de Polignac number, because 640198053 - 24 = 640198037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 640197999 and 640198017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640198057) 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 47 ways as a sum of consecutive naturals, for example, 49776 + ... + 61302.

It is an arithmetic number, because the mean of its divisors is an integer number (22998360).

Almost surely, 2640198053 is an apocalyptic number.

It is an amenable number.

640198053 is a deficient number, since it is larger than the sum of its proper divisors (463723227).

640198053 is a wasteful number, since it uses less digits than its factorization.

640198053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11575 (or 11558 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 640198053 is about 25302.1353446700. The cubic root of 640198053 is about 861.8627610642.

The spelling of 640198053 in words is "six hundred forty million, one hundred ninety-eight thousand, fifty-three".

Divisors: 1 3 9 11 17 27 33 51 99 121 153 187 297 363 459 561 1089 1683 2057 3267 5049 6171 11527 18513 34581 55539 103743 126797 195959 311229 380391 587877 1141173 1394767 1763631 2155549 3423519 4184301 5290893 6466647 12552903 19399941 23711039 37658709 58199823 71133117 213399351 640198053