Search a number
-
+
430980689648 = 241943257128287
BaseRepresentation
bin1100100010110000111…
…00110110111011110000
31112012102210012110122202
412101120130312323300
524030122024032043
6525553443522332
743065050263235
oct6213034667360
91465383173582
10430980689648
11156861400043
126b63a6893a8
1331844c3c072
1416c0696d78c
15b32668c1b8
hex6458736ef0

430980689648 has 80 divisors (see below), whose sum is σ = 902921733120. Its totient is φ = 198623674368.

The previous prime is 430980689603. The next prime is 430980689663. The reversal of 430980689648 is 846986089034.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3295361 + ... + 3423647.

It is an arithmetic number, because the mean of its divisors is an integer number (11286521664).

Almost surely, 2430980689648 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 430980689648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451460866560).

430980689648 is an abundant number, since it is smaller than the sum of its proper divisors (471941043472).

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

430980689648 is a wasteful number, since it uses less digits than its factorization.

430980689648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128614 (or 128608 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 65.

The spelling of 430980689648 in words is "four hundred thirty billion, nine hundred eighty million, six hundred eighty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 19 38 43 76 86 152 172 257 304 344 514 688 817 1028 1634 2056 3268 4112 4883 6536 9766 11051 13072 19532 22102 39064 44204 78128 88408 128287 176816 209969 256574 419938 513148 839876 1026296 1679752 2052592 2437453 3359504 4874906 5516341 9749812 11032682 19499624 22065364 32969759 38999248 44130728 65939518 88261456 104810479 131879036 209620958 263758072 419241916 527516144 626425421 838483832 1252850842 1417699637 1676967664 2505701684 2835399274 5011403368 5670798548 10022806736 11341597096 22683194192 26936293103 53872586206 107745172412 215490344824 430980689648