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664245612 = 2232237111299
BaseRepresentation
bin100111100101111…
…001010101101100
31201021220011200100
4213211321111230
52330021324422
6145525031100
722313665062
oct4745712554
91637804610
10664245612
11310a49618
12166555490
13a7801154
146430c032
153d4ad7ac
hex2797956c

664245612 has 72 divisors (see below), whose sum is σ = 1776902400. Its totient is φ = 208787040.

The previous prime is 664245583. The next prime is 664245619. The reversal of 664245612 is 216542466.

664245612 is a `hidden beast` number, since 6 + 642 + 4 + 5 + 6 + 1 + 2 = 666.

It is a super-3 number, since 3×6642456123 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (664245619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53139 + ... + 64437.

It is an arithmetic number, because the mean of its divisors is an integer number (24679200).

Almost surely, 2664245612 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 664245612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888451200).

664245612 is an abundant number, since it is smaller than the sum of its proper divisors (1112656788).

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

664245612 is a wasteful number, since it uses less digits than its factorization.

664245612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11403 (or 11398 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 664245612 is about 25772.9628098905. The cubic root of 664245612 is about 872.5216889927.

The spelling of 664245612 in words is "six hundred sixty-four million, two hundred forty-five thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 71 92 138 142 207 213 276 284 414 426 639 828 852 1278 1633 2556 3266 4899 6532 9798 11299 14697 19596 22598 29394 33897 45196 58788 67794 101691 135588 203382 259877 406764 519754 779631 802229 1039508 1559262 1604458 2338893 2406687 3118524 3208916 4677786 4813374 7220061 9355572 9626748 14440122 18451267 28880244 36902534 55353801 73805068 110707602 166061403 221415204 332122806 664245612