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165664604105 = 571113101327721
BaseRepresentation
bin1001101001001001100…
…0010011111111001001
3120211121110011211222222
42122102120103333021
510203240114312410
6204034423223425
714653215620660
oct2322230237711
9524543154888
10165664604105
1164292394060
12281348a7b75
13128119c3880
148037d77dd7
154498e23955
hex2692613fc9

165664604105 has 64 divisors (see below), whose sum is σ = 269560521216. Its totient is φ = 94383360000.

The previous prime is 165664604089. The next prime is 165664604111. The reversal of 165664604105 is 501406466561.

165664604105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 165664604105 - 24 = 165664604089 is a prime.

It is a super-2 number, since 2×1656646041052 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 341645 + ... + 669365.

It is an arithmetic number, because the mean of its divisors is an integer number (4211883144).

Almost surely, 2165664604105 is an apocalyptic number.

It is an amenable number.

165664604105 is a deficient number, since it is larger than the sum of its proper divisors (103895917111).

165664604105 is a wasteful number, since it uses less digits than its factorization.

165664604105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327858.

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 165664604105 in words is "one hundred sixty-five billion, six hundred sixty-four million, six hundred four thousand, one hundred five".

Divisors: 1 5 7 11 13 35 55 65 77 91 101 143 385 455 505 707 715 1001 1111 1313 3535 5005 5555 6565 7777 9191 14443 38885 45955 72215 101101 327721 505505 1638605 2294047 3604931 4260373 11470235 18024655 21301865 25234517 29822611 33099821 46864103 126172585 149113055 165499105 231698747 234320515 328048721 364098031 430297673 1158493735 1640243605 1820490155 2151488365 2548686217 3012083711 4733274403 12743431085 15060418555 23666372015 33132920821 165664604105