Search a number
-
+
2120673824680 = 235196201270217
BaseRepresentation
bin11110110111000010000…
…000101000111110101000
321111201211101221022011011
4132313002000220332220
5234221114444342210
64302120223513304
7306133163042635
oct36670200507650
97451741838134
102120673824680
117484110a7404
122a3001458834
13124c95224968
14748d94b918c
153a26c1d4d8a
hex1edc2028fa8

2120673824680 has 32 divisors (see below), whose sum is σ = 4771558083240. Its totient is φ = 848262067200.

The previous prime is 2120673824663. The next prime is 2120673824771. The reversal of 2120673824680 is 864283760212.

It can be written as a sum of positive squares in 4 ways, for example, as 1956177065956 + 164496758724 = 1398634^2 + 405582^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7712932 + ... + 7983148.

Almost surely, 22120673824680 is an apocalyptic number.

2120673824680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120673824680 is an abundant number, since it is smaller than the sum of its proper divisors (2650884258560).

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

2120673824680 is a wasteful number, since it uses less digits than its factorization.

2120673824680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466429 (or 466425 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 2120673824680 in words is "two trillion, one hundred twenty billion, six hundred seventy-three million, eight hundred twenty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 196201 270217 392402 540434 784804 981005 1080868 1351085 1569608 1962010 2161736 2702170 3924020 5404340 7848040 10808680 53016845617 106033691234 212067382468 265084228085 424134764936 530168456170 1060336912340 2120673824680