Search a number
-
+
11728853861905 = 5197312725751817
BaseRepresentation
bin1010101010101101011000…
…1010110000011000010001
31112112021012222210010112101
42222223112022300120101
53014131143042040110
640540054443200401
72320244634611245
oct252532612603021
945467188703471
1011728853861905
1138121a7264074
121395169516101
1367104566ca5b
142c79729b6425
1515516393e13a
hexaaad62b0611

11728853861905 has 64 divisors (see below), whose sum is σ = 15195790172160. Its totient is φ = 8664417828864.

The previous prime is 11728853861891. The next prime is 11728853861957. The reversal of 11728853861905 is 50916835882711.

It is not a de Polignac number, because 11728853861905 - 29 = 11728853861393 is a prime.

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, 226325557 + ... + 226377373.

It is an arithmetic number, because the mean of its divisors is an integer number (237434221440).

Almost surely, 211728853861905 is an apocalyptic number.

It is an amenable number.

11728853861905 is a deficient number, since it is larger than the sum of its proper divisors (3466936310255).

11728853861905 is a wasteful number, since it uses less digits than its factorization.

11728853861905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52298.

The product of its (nonzero) digits is 29030400, while the sum is 64.

The spelling of 11728853861905 in words is "eleven trillion, seven hundred twenty-eight billion, eight hundred fifty-three million, eight hundred sixty-one thousand, nine hundred five".

Divisors: 1 5 19 73 95 127 257 365 635 1285 1387 2413 4883 6935 9271 12065 18761 24415 32639 46355 51817 93805 163195 176149 259085 356459 620141 880745 984523 1782295 2382647 3100705 3782641 4922615 6580759 11913235 13316969 18913205 32903795 45270293 66584845 71870179 125034421 226351465 253022411 359350895 480395407 625172105 972138737 1265112055 1691255063 2401977035 4860693685 8456275315 9127512733 18470636003 32133846197 45637563665 92353180015 123461619599 160669230985 617308097995 2345770772381 11728853861905