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169944449961 = 311133129994261
BaseRepresentation
bin1001111001000101111…
…0101000001110101001
3121020122201110112210110
42132101132220032221
510241021234344321
6210023231204533
715164244663456
oct2362136501651
9536581415713
10169944449961
1166089236650
1228b2a076749
13130445a7740
14832253682d
154649a26176
hex27917a83a9

169944449961 has 64 divisors (see below), whose sum is σ = 274950144000. Its totient is φ = 91954656000.

The previous prime is 169944449959. The next prime is 169944449977.

169944449961 is nontrivially palindromic in base 10.

169944449961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 169944449961 - 21 = 169944449959 is a prime.

It is a super-2 number, since 2×1699444499612 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 169944449892 and 169944449901.

It is not an unprimeable number, because it can be changed into a prime (169944449761) 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 63 ways as a sum of consecutive naturals, for example, 39881571 + ... + 39885831.

It is an arithmetic number, because the mean of its divisors is an integer number (4296096000).

Almost surely, 2169944449961 is an apocalyptic number.

169944449961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

169944449961 is a deficient number, since it is larger than the sum of its proper divisors (105005694039).

169944449961 is a wasteful number, since it uses less digits than its factorization.

169944449961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7318.

The product of its digits is 60466176, while the sum is 66.

The spelling of 169944449961 in words is "one hundred sixty-nine billion, nine hundred forty-four million, four hundred forty-nine thousand, nine hundred sixty-one".

Divisors: 1 3 11 13 31 33 39 93 143 341 403 429 1023 1209 2999 4261 4433 8997 12783 13299 32989 38987 46871 55393 92969 98967 116961 132091 140613 166179 278907 396273 428857 609323 1022659 1208597 1286571 1453001 1717183 1827969 3067977 3625791 4359003 5151549 12778739 13294567 18889013 38336217 39883701 56667039 140566129 166123607 396140909 421698387 498370821 1188422727 1827359677 4357549999 5149831817 5482079031 13072649997 15449495451 56648149987 169944449961