Search a number
-
+
2180016001837 = 37157375282493
BaseRepresentation
bin11111101110010011000…
…101000101001100101101
321201102000001201020121101
4133232103011011030231
5241204133044024322
64345252512403101
7313333554162532
oct37562305051455
97642001636541
102180016001837
117705a3222423
122b2602b46491
1312a7615bc25b
1477728852d89
153ba91ce7327
hex1fb9314532d

2180016001837 has 8 divisors (see below), whose sum is σ = 2253196093976. Its totient is φ = 2107586475072.

The previous prime is 2180016001811. The next prime is 2180016001873. The reversal of 2180016001837 is 7381006100812.

It can be written as a sum of positive squares in 4 ways, for example, as 37287996201 + 2142728005636 = 193101^2 + 1463806^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2180016001837 - 227 = 2179881784109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2180016001796 and 2180016001805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180016001937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187635438 + ... + 187647055.

It is an arithmetic number, because the mean of its divisors is an integer number (281649511747).

Almost surely, 22180016001837 is an apocalyptic number.

It is an amenable number.

2180016001837 is a deficient number, since it is larger than the sum of its proper divisors (73180092139).

2180016001837 is a wasteful number, since it uses less digits than its factorization.

2180016001837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375282687.

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 2180016001837 in words is "two trillion, one hundred eighty billion, sixteen million, one thousand, eight hundred thirty-seven".

Divisors: 1 37 157 5809 375282493 13885452241 58919351401 2180016001837