Search a number
-
+
64135512 = 23327553
BaseRepresentation
bin1111010010101…
…0000101011000
311110200102101100
43310222011120
5112404314022
610210351400
71406100000
oct364520530
9143612340
1064135512
1133225a61
121958b560
131039740c
148737000
15596d1ac
hex3d2a158

64135512 has 144 divisors (see below), whose sum is σ = 206472240. Its totient is φ = 17978688.

The previous prime is 64135493. The next prime is 64135531. The reversal of 64135512 is 21553146.

64135512 is a `hidden beast` number, since 641 + 3 + 5 + 5 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (64135493) and next prime (64135531).

It is a super-2 number, since 2×641355122 = 8226727799004288, which contains 22 as substring.

Its product of digits (3600) is a multiple of the sum of its prime factors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1210078 + ... + 1210130.

It is an arithmetic number, because the mean of its divisors is an integer number (1433835).

Almost surely, 264135512 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 64135512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103236120).

64135512 is an abundant number, since it is smaller than the sum of its proper divisors (142336728).

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

64135512 is an equidigital number, since it uses as much as digits as its factorization.

64135512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 65 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 64135512 is about 8008.4650214632. The cubic root of 64135512 is about 400.2821176440.

Adding to 64135512 its reverse (21553146), we get a palindrome (85688658).

It can be divided in two parts, 64 and 135512, that multiplied together give a palindrome (8672768).

The spelling of 64135512 in words is "sixty-four million, one hundred thirty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 53 56 63 72 84 98 106 126 147 159 168 196 212 252 294 318 343 371 392 424 441 477 504 588 636 686 742 882 954 1029 1113 1176 1272 1372 1484 1764 1908 2058 2226 2401 2597 2744 2968 3087 3339 3528 3816 4116 4452 4802 5194 6174 6678 7203 7791 8232 8904 9604 10388 12348 13356 14406 15582 16807 18179 19208 20776 21609 23373 24696 26712 28812 31164 33614 36358 43218 46746 50421 54537 57624 62328 67228 72716 86436 93492 100842 109074 127253 134456 145432 151263 163611 172872 186984 201684 218148 254506 302526 327222 381759 403368 436296 509012 605052 654444 763518 890771 1018024 1145277 1210104 1308888 1527036 1781542 2290554 2672313 3054072 3563084 4581108 5344626 7126168 8016939 9162216 10689252 16033878 21378504 32067756 64135512