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2136564297 = 34723714549
BaseRepresentation
bin111111101011001…
…0110001001001001
312111220022201020000
41333112112021021
513333430024142
6552001553213
7103642332300
oct17726261111
95456281200
102136564297
119a704241a
124b7645809
1328085093a
14163a87437
15c788b14c
hex7f596249

2136564297 has 60 divisors (see below), whose sum is σ = 3813351300. Its totient is φ = 1187815104.

The previous prime is 2136564293. The next prime is 2136564319. The reversal of 2136564297 is 7924656312.

2136564297 is a `hidden beast` number, since 213 + 6 + 5 + 6 + 429 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1851494841 + 285069456 = 43029^2 + 16884^2 .

It is not a de Polignac number, because 2136564297 - 22 = 2136564293 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2136564293) 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 59 ways as a sum of consecutive naturals, for example, 139579 + ... + 154127.

It is an arithmetic number, because the mean of its divisors is an integer number (63555855).

Almost surely, 22136564297 is an apocalyptic number.

2136564297 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2136564297 is a deficient number, since it is larger than the sum of its proper divisors (1676787003).

2136564297 is a wasteful number, since it uses less digits than its factorization.

2136564297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14612 (or 14596 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 2136564297 is about 46222.9845098734. The cubic root of 2136564297 is about 1287.9687393957.

The spelling of 2136564297 in words is "two billion, one hundred thirty-six million, five hundred sixty-four thousand, two hundred ninety-seven".

Divisors: 1 3 7 9 21 27 37 49 63 81 111 147 189 259 333 441 567 777 999 1323 1813 2331 2997 3969 5439 6993 14549 16317 20979 43647 48951 101843 130941 146853 305529 392823 538313 712901 916587 1178469 1614939 2138703 2749761 3768191 4844817 6416109 8249283 11304573 14534451 19248327 26377337 33913719 43603353 57744981 79132011 101741157 237396033 305223471 712188099 2136564297