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64643433434646 = 23112372406501133
BaseRepresentation
bin11101011001010111110001…
…11000110000111000010110
322110212212000000121100210020
432230223320320300320112
531433104222424402041
6345252441112010010
716421222354050113
oct1654537070607026
9273785000540706
1064643433434646
1119663142a17600
1273003b7090906
132a0bb077b7bc1
1411d6a8a4b990a
157717cda21866
hex3acaf8e30e16

64643433434646 has 48 divisors (see below), whose sum is σ = 145949480774832. Its totient is φ = 19059488965440.

The previous prime is 64643433434641. The next prime is 64643433434647.

64643433434646 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 64643433434646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64643433434641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1203223705 + ... + 1203277428.

It is an arithmetic number, because the mean of its divisors is an integer number (3040614182809).

Almost surely, 264643433434646 is an apocalyptic number.

64643433434646 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64643433434646 is an abundant number, since it is smaller than the sum of its proper divisors (81306047340186).

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

64643433434646 is a wasteful number, since it uses less digits than its factorization.

64643433434646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406501197 (or 2406501186 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 60.

It can be divided in two parts, 6464343 and 3434646, that added together give a palindrome (9898989).

The spelling of 64643433434646 in words is "sixty-four trillion, six hundred forty-three billion, four hundred thirty-three million, four hundred thirty-four thousand, six hundred forty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 242 363 407 726 814 1221 2442 4477 8954 13431 26862 2406501133 4813002266 7219503399 14439006798 26471512463 52943024926 79414537389 89040541921 158829074778 178081083842 267121625763 291186637093 534243251526 582373274186 873559911279 979445961131 1747119822558 1958891922262 2938337883393 5876675766786 10773905572441 21547811144882 32321716717323 64643433434646