Search a number
-
+
2092472370630 = 2395193118049
BaseRepresentation
bin11110011100110001000…
…100101000010111000110
321102001000222221000000000
4132130301010220113012
5233240340411330010
64241134000502130
7304114262454165
oct36346104502706
97361028830000
102092472370630
1173745a114594
1229965091a946
1312241c660b45
14733c1c893dc
153966b4287c0
hex1e7311285c6

2092472370630 has 320 divisors, whose sum is σ = 6139102464000. Its totient is φ = 511543848960.

The previous prime is 2092472370553. The next prime is 2092472370641. The reversal of 2092472370630 is 360732742902.

2092472370630 is a `hidden beast` number, since 2 + 0 + 9 + 2 + 4 + 7 + 2 + 3 + 7 + 0 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 115923846 + ... + 115941894.

It is an arithmetic number, because the mean of its divisors is an integer number (19184695200).

Almost surely, 22092472370630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2092472370630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069551232000).

2092472370630 is an abundant number, since it is smaller than the sum of its proper divisors (4046630093370).

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

2092472370630 is an equidigital number, since it uses as much as digits as its factorization.

2092472370630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18133 (or 18109 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 2092472370630 in words is "two trillion, ninety-two billion, four hundred seventy-two million, three hundred seventy thousand, six hundred thirty".