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168505000337 = 2941537193719
BaseRepresentation
bin1001110011101110101…
…1100100000110010001
3121002221101212221010102
42130323223210012101
510230044240002322
6205224330542145
715113465604362
oct2347353440621
9532841787112
10168505000337
116550a752863
12287a7b97955
1312b752c5abb
1482272b5b69
1545b348c792
hex273bae4191

168505000337 has 32 divisors (see below), whose sum is σ = 182238336000. Its totient is φ = 155473077760.

The previous prime is 168505000327. The next prime is 168505000357. The reversal of 168505000337 is 733000505861.

168505000337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-168505000337 is a prime.

It is a super-2 number, since 2×1685050003372 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 168505000337.

It is not an unprimeable number, because it can be changed into a prime (168505000327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 45307364 + ... + 45311082.

It is an arithmetic number, because the mean of its divisors is an integer number (5694948000).

Almost surely, 2168505000337 is an apocalyptic number.

It is an amenable number.

168505000337 is a deficient number, since it is larger than the sum of its proper divisors (13733335663).

168505000337 is a wasteful number, since it uses less digits than its factorization.

168505000337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561.

The product of its (nonzero) digits is 75600, while the sum is 38.

It can be divided in two parts, 168 and 505000337, that added together give a palindrome (505000505).

The spelling of 168505000337 in words is "one hundred sixty-eight billion, five hundred five million, three hundred thirty-seven", and thus it is an aban number.

Divisors: 1 29 41 53 719 1189 1537 2173 3719 20851 29479 38107 63017 107851 152479 197107 854891 1105103 1562387 2673961 4421891 5716103 8081387 45309223 77544869 109632401 141719933 234360223 3179339629 4109878057 5810517253 168505000337