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650106789264 = 2434223972
BaseRepresentation
bin10010111010111010110…
…00100101110110010000
32022011001001121200110000
421131131120211312100
541122404314224024
61214353244410000
764653152350512
oct11353530456620
92264031550400
10650106789264
11230788374a39
12a5bb3546900
13493c687a03a
1423672c51bb2
1511d9dca8cc9
hex975d625d90

650106789264 has 75 divisors (see below), whose sum is σ = 1881681674257. Its totient is φ = 216692587584.

The previous prime is 650106789173. The next prime is 650106789301. The reversal of 650106789264 is 462987601056.

The square root of 650106789264 is 806292.

It is a perfect power (a square), and thus also a powerful number.

650106789264 is a `hidden beast` number, since 6 + 501 + 0 + 6 + 78 + 9 + 2 + 64 = 666.

650106789264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 627549152400 + 22557636864 = 792180^2 + 150192^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 650106789264.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 29015314 + ... + 29037710.

Almost surely, 2650106789264 is an apocalyptic number.

650106789264 is the 806292-nd square number.

It is an amenable number.

650106789264 is an abundant number, since it is smaller than the sum of its proper divisors (1231574884993).

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

650106789264 is an frugal number, since it uses more digits than its factorization.

650106789264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44814 (or 22402 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 650106789264 in words is "six hundred fifty billion, one hundred six million, seven hundred eighty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 22397 44794 67191 89588 134382 179176 201573 268764 358352 403146 537528 604719 806292 1075056 1209438 1612584 1814157 2418876 3225168 3628314 4837752 7256628 9675504 14513256 29026512 501625609 1003251218 1504876827 2006502436 3009753654 4013004872 4514630481 6019507308 8026009744 9029260962 12039014616 13543891443 18058521924 24078029232 27087782886 36117043848 40631674329 54175565772 72234087696 81263348658 108351131544 162526697316 216702263088 325053394632 650106789264