Search a number
-
+
372403842001 = 172358972
BaseRepresentation
bin1010110101101001111…
…11111010101111010001
31022121020110112021220221
411122310333322233101
522100140340421001
6443025134433041
735622341266612
oct5326477725721
91277213467827
10372403842001
11133a32295454
1260211362781
132916b2a8879
141404b0d7c09
159a48d541a1
hex56b4ffabd1

372403842001 has 9 divisors (see below), whose sum is σ = 395609565649. Its totient is φ = 350487969664.

The previous prime is 372403841977. The next prime is 372403842029. The reversal of 372403842001 is 100248304273.

The square root of 372403842001 is 610249.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 79636275601 + 292767566400 = 282199^2 + 541080^2 .

It is not a de Polignac number, because 372403842001 - 227 = 372269624273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (372403342001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10356285 + ... + 10392181.

Almost surely, 2372403842001 is an apocalyptic number.

372403842001 is the 610249-th square number.

372403842001 is the 305125-th centered octagonal number.

It is an amenable number.

372403842001 is a deficient number, since it is larger than the sum of its proper divisors (23205723648).

372403842001 is an frugal number, since it uses more digits than its factorization.

372403842001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71828 (or 35914 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

It can be divided in two parts, 372403 and 842001, that added together give a square (1214404 = 11022).

The spelling of 372403842001 in words is "three hundred seventy-two billion, four hundred three million, eight hundred forty-two thousand, one".

Divisors: 1 17 289 35897 610249 10374233 1288594609 21906108353 372403842001