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85732302427047 = 3347971213574183
BaseRepresentation
bin10011011111100100011011…
…011011101001001110100111
3102020112221001120011212022000
4103133210123123221032213
542214114223410131142
6502200513115340343
724025645242605253
oct2337443333511647
9366487046155260
1085732302427047
11253539577578a1
1297475b27516b3
1338ab6a1770273
14172567378b263
159da16203c14c
hex4df91b6e93a7

85732302427047 has 64 divisors (see below), whose sum is σ = 131158692188160. Its totient is φ = 55316381524992.

The previous prime is 85732302427039. The next prime is 85732302427073. The reversal of 85732302427047 is 74072420323758.

85732302427047 is a `hidden beast` number, since 8 + 5 + 7 + 323 + 0 + 2 + 4 + 270 + 47 = 666.

It is not a de Polignac number, because 85732302427047 - 23 = 85732302427039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85732302426984 and 85732302427002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85732302427097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149024718 + ... + 149598900.

It is an arithmetic number, because the mean of its divisors is an integer number (2049354565440).

Almost surely, 285732302427047 is an apocalyptic number.

85732302427047 is a deficient number, since it is larger than the sum of its proper divisors (45426389761113).

85732302427047 is a wasteful number, since it uses less digits than its factorization.

85732302427047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575549 (or 575543 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 54.

The spelling of 85732302427047 in words is "eighty-five trillion, seven hundred thirty-two billion, three hundred two million, four hundred twenty-seven thousand, forty-seven".

Divisors: 1 3 9 27 47 97 141 291 423 873 1213 1269 2619 3639 4559 10917 13677 32751 41031 57011 117661 123093 171033 352983 513099 574183 1058949 1539297 1722549 3176847 5167647 5530067 15502941 16590201 26986601 49770603 55695751 80959803 149311809 167087253 242879409 501261759 696483979 728638227 1503785277 2089451937 2617700297 6268355811 7853100891 18805067433 23559302673 32734747013 67558945963 70677908019 98204241039 202676837889 294612723117 608030513667 883838169351 1824091541001 3175270460261 9525811380783 28577434142349 85732302427047