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2167680867612 = 2231323604147399
BaseRepresentation
bin11111100010110011110…
…110010001110100011100
321200020011101222111112020
4133202303312101310130
5241003402300230422
64335452511540140
7312416103235221
oct37426366216434
97606141874466
102167680867612
1176634337a517
122b013bb2a650
13129546ba7a70
1476cb8517948
153b5bde2795c
hex1f8b3d91d1c

2167680867612 has 48 divisors (see below), whose sum is σ = 5683818739200. Its totient is φ = 637979652288.

The previous prime is 2167680867601. The next prime is 2167680867613.

2167680867612 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21676808676122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2167680867613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302070112 + ... + 302077287.

It is an arithmetic number, because the mean of its divisors is an integer number (118412890400).

Almost surely, 22167680867612 is an apocalyptic number.

It is an amenable number.

2167680867612 is an abundant number, since it is smaller than the sum of its proper divisors (3516137871588).

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

2167680867612 is a wasteful number, since it uses less digits than its factorization.

2167680867612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604147442 (or 604147440 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 2167680867612 in words is "two trillion, one hundred sixty-seven billion, six hundred eighty million, eight hundred sixty-seven thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 3588 604147399 1208294798 1812442197 2416589596 3624884394 7249768788 7853916187 13895390177 15707832374 23561748561 27790780354 31415664748 41686170531 47123497122 55581560708 83372341062 94246994244 166744682124 180640072301 361280144602 541920216903 722560289204 1083840433806 2167680867612