Search a number
-
+
646143341646 = 231137264595963
BaseRepresentation
bin10010110011100010010…
…01001111010001001110
32021202210211200200102210
421121301021033101032
541041300143413041
61212500102131250
764453014532605
oct11316111172116
92252724620383
10646143341646
1122a0340870a0
12a5288120b26
1348c146b5b6a
14233b86d4a3c
1511c1ad54016
hex967124f44e

646143341646 has 32 divisors (see below), whose sum is σ = 1447869115008. Its totient is φ = 190509092640.

The previous prime is 646143341621. The next prime is 646143341647.

646143341646 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 646143341595 and 646143341604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646143341647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 132295540 + ... + 132300423.

It is an arithmetic number, because the mean of its divisors is an integer number (45245909844).

Almost surely, 2646143341646 is an apocalyptic number.

646143341646 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

646143341646 is an abundant number, since it is smaller than the sum of its proper divisors (801725773362).

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

646143341646 is a wasteful number, since it uses less digits than its factorization.

646143341646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264596016.

The product of its digits is 2985984, while the sum is 48.

It can be divided in two parts, 646143 and 341646, that added together give a palindrome (987789).

The spelling of 646143341646 in words is "six hundred forty-six billion, one hundred forty-three million, three hundred forty-one thousand, six hundred forty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 264595963 529191926 793787889 1587575778 2910555593 5821111186 8731666779 9790050631 17463333558 19580101262 29370151893 58740303786 107690556941 215381113882 323071670823 646143341646