Search a number
-
+
643602303206346 = 23112171012351219613
BaseRepresentation
bin1001001001010110100101011…
…0101010001100001111001010
310010101210210001002211112002210
42102111221112222030033022
51133324240004110100341
610200454452200205550
7252364506024343311
oct22225512652141712
93111723032745083
10643602303206346
11177087227534300
12602265311698b6
132181758a78a173
14b4d0736749278
154e6188d7a2c16
hex2495a56a8c3ca

643602303206346 has 192 divisors, whose sum is σ = 1513571367264768. Its totient is φ = 181663046400000.

The previous prime is 643602303206323. The next prime is 643602303206399.

643602303206346 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 643602303206295 and 643602303206304.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2930510436 + ... + 2930730048.

It is an arithmetic number, because the mean of its divisors is an integer number (7883184204504).

Almost surely, 2643602303206346 is an apocalyptic number.

643602303206346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 643602303206346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756785683632384).

643602303206346 is an abundant number, since it is smaller than the sum of its proper divisors (869969064058422).

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

643602303206346 is a wasteful number, since it uses less digits than its factorization.

643602303206346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222109 (or 222098 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 48.

It can be divided in two parts, 64360230 and 3206346, that added together give a palindrome (67566576).

The spelling of 643602303206346 in words is "six hundred forty-three trillion, six hundred two billion, three hundred three million, two hundred six thousand, three hundred forty-six".