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168918344145 = 32517772328591
BaseRepresentation
bin1001110101010001010…
…0010110000111010001
3121011000012122222020100
42131110110112013101
510231421044003040
6205333334203013
715126645143355
oct2352424260721
9534005588210
10168918344145
1165702002111
12288a24b3469
1312c0cb29c35
148266151465
1545d98d9b30
hex27545161d1

168918344145 has 48 divisors (see below), whose sum is σ = 310065829632. Its totient is φ = 84776440320.

The previous prime is 168918344117. The next prime is 168918344167. The reversal of 168918344145 is 541443819861.

168918344145 is a `hidden beast` number, since 1 + 6 + 89 + 1 + 83 + 441 + 45 = 666.

It is not a de Polignac number, because 168918344145 - 212 = 168918340049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 168918344091 and 168918344100.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5893800 + ... + 5922390.

It is an arithmetic number, because the mean of its divisors is an integer number (6459704784).

Almost surely, 2168918344145 is an apocalyptic number.

168918344145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

168918344145 is a deficient number, since it is larger than the sum of its proper divisors (141147485487).

168918344145 is a wasteful number, since it uses less digits than its factorization.

168918344145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36342 (or 36339 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 168918344145 in words is "one hundred sixty-eight billion, nine hundred eighteen million, three hundred forty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 7723 23169 28591 38615 69507 85773 115845 131291 142955 257319 347535 393873 428865 486047 656455 1181619 1286595 1458141 1969365 2430235 4374423 5908095 7290705 21872115 220808293 662424879 1104041465 1987274637 3312124395 3753740981 9936373185 11261222943 18768704905 33783668829 56306114715 168918344145