Search a number
-
+
168165668106 = 23310729104477
BaseRepresentation
bin1001110010011101110…
…1000111010100001010
3121002001202101001211000
42130213131013110022
510223400402334411
6205130525515430
715102205410522
oct2344735072412
9532052331730
10168165668106
11653561544a7
1228712412b76
1312b1cc063b7
1481d41c4682
1545937ae956
hex272774750a

168165668106 has 32 divisors (see below), whose sum is σ = 377194034880. Its totient is φ = 55531340208.

The previous prime is 168165668053. The next prime is 168165668107. The reversal of 168165668106 is 601866561861.

168165668106 is a `hidden beast` number, since 1 + 68 + 1 + 6 + 566 + 8 + 10 + 6 = 666.

168165668106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (168165668107) 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 15 ways as a sum of consecutive naturals, for example, 14546461 + ... + 14558016.

It is an arithmetic number, because the mean of its divisors is an integer number (11787313590).

Almost surely, 2168165668106 is an apocalyptic number.

168165668106 is an abundant number, since it is smaller than the sum of its proper divisors (209028366774).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

168165668106 is a wasteful number, since it uses less digits than its factorization.

168165668106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29104595 (or 29104589 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 168165668106 in words is "one hundred sixty-eight billion, one hundred sixty-five million, six hundred sixty-eight thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 963 1926 2889 5778 29104477 58208954 87313431 174626862 261940293 523880586 785820879 1571641758 3114179039 6228358078 9342537117 18685074234 28027611351 56055222702 84082834053 168165668106