Search a number
-
+
646305503646 = 231145072172733
BaseRepresentation
bin10010110011110101100…
…11110101100110011110
32021210020010211100212210
421121322303311212132
541042113202104041
61212524133541250
764460024065245
oct11317263654636
92253203740783
10646305503646
1122a107675880
12a53124a4826
1348c3c1826ca
14233d206795c
1511c2a1d7016
hex967acf599e

646305503646 has 32 divisors (see below), whose sum is σ = 1410434621568. Its totient is φ = 195806607840.

The previous prime is 646305503639. The next prime is 646305503731.

646305503646 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 646305503595 and 646305503604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 788905 + ... + 1383828.

It is an arithmetic number, because the mean of its divisors is an integer number (44076081924).

Almost surely, 2646305503646 is an apocalyptic number.

646305503646 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

646305503646 is an abundant number, since it is smaller than the sum of its proper divisors (764129117922).

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

646305503646 is a wasteful number, since it uses less digits than its factorization.

646305503646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177256.

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 646305503646 in words is "six hundred forty-six billion, three hundred five million, five hundred three thousand, six hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 4507 9014 13521 27042 49577 99154 148731 297462 2172733 4345466 6518199 13036398 23900063 47800126 71700189 143400378 9792507631 19585015262 29377522893 58755045786 107717583941 215435167882 323152751823 646305503646