Search a number
-
+
1676684167668 = 2232167113278701
BaseRepresentation
bin11000011001100010001…
…010100000100111110100
312221021211000001211010100
4120121202022200213310
5204432322121331133
63322131424354100
7232064540163006
oct30314212404764
95837730054110
101676684167668
11597094557674
12230b52175930
13c21590c4393
145b21ad28376
152d933923e13
hex186622a09f4

1676684167668 has 36 divisors (see below), whose sum is σ = 4238325548548. Its totient is φ = 558889372800.

The previous prime is 1676684167607. The next prime is 1676684167681. The reversal of 1676684167668 is 8667614866761.

1676684167668 is a `hidden beast` number, since 16 + 76 + 6 + 8 + 416 + 76 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1198735937424 + 477948230244 = 1094868^2 + 691338^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×16766841676682 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1676684167596 and 1676684167605.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 5876718 + ... + 6155418.

Almost surely, 21676684167668 is an apocalyptic number.

1676684167668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1676684167668 is an abundant number, since it is smaller than the sum of its proper divisors (2561641380880).

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

1676684167668 is a wasteful number, since it uses less digits than its factorization.

1676684167668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445824 (or 445819 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 1676684167668 in words is "one trillion, six hundred seventy-six billion, six hundred eighty-four million, one hundred sixty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 167113 278701 334226 501339 557402 668452 836103 1002678 1114804 1504017 1672206 2005356 2508309 3008034 3344412 5016618 6016068 10033236 46574560213 93149120426 139723680639 186298240852 279447361278 419171041917 558894722556 838342083834 1676684167668