Search a number
-
+
664524436264 = 231321018635639
BaseRepresentation
bin10011010101110001011…
…11100011001100101000
32100112020211222000222221
421222320233203030220
541341421223430024
61225140040523424
766003351340003
oct11527057431450
92315224860887
10664524436264
112369067a1587
12a8957a80574
134a883868900
142423d9a453a
15124448d93e4
hex9ab8be3328

664524436264 has 96 divisors (see below), whose sum is σ = 1364380070400. Its totient is φ = 303261254400.

The previous prime is 664524436259. The next prime is 664524436267. The reversal of 664524436264 is 462634425466.

664524436264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (664524436267) 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, 117841557 + ... + 117847195.

It is an arithmetic number, because the mean of its divisors is an integer number (14212292400).

Almost surely, 2664524436264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664524436264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682190035200).

664524436264 is an abundant number, since it is smaller than the sum of its proper divisors (699855634136).

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

664524436264 is a wasteful number, since it uses less digits than its factorization.

664524436264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6635 (or 6618 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 52.

The spelling of 664524436264 in words is "six hundred sixty-four billion, five hundred twenty-four million, four hundred thirty-six thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 101 104 169 202 338 404 676 808 863 1313 1352 1726 2626 3452 5252 5639 6904 10504 11219 11278 17069 22438 22556 34138 44876 45112 68276 73307 87163 89752 136552 145847 146614 174326 291694 293228 348652 569539 583388 586456 697304 952991 1133119 1139078 1166776 1905982 2266238 2278156 3811964 4532476 4556312 4866457 7404007 7623928 9064952 9732914 14730547 14808014 19465828 29461094 29616028 38931656 58922188 59232056 63263941 96252091 117844376 126527882 192504182 253055764 385008364 491512157 506111528 770016728 822431233 983024314 1644862466 1966048628 3289724932 3932097256 6389658041 6579449864 12779316082 25558632164 51117264328 83065554533 166131109066 332262218132 664524436264