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200232394446930 = 235412831938729671
BaseRepresentation
bin101101100001110000111100…
…101111100101100001010010
3222020222000210211210011010120
4231201300330233211201102
5202221101420434300210
61545505254145011110
760114212252445306
oct5541607457454122
9866860724704116
10200232394446930
1158889099687a3a
121a55a467923a96
138795aaba66341
14376342a165d06
151823786468270
hexb61c3cbe5852

200232394446930 has 128 divisors (see below), whose sum is σ = 494060300568576. Its totient is φ = 51904479628800.

The previous prime is 200232394446863. The next prime is 200232394446941. The reversal of 200232394446930 is 39644493232002.

200232394446930 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6748405995 + ... + 6748435665.

It is an arithmetic number, because the mean of its divisors is an integer number (3859846098192).

Almost surely, 2200232394446930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200232394446930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247030150284288).

200232394446930 is an abundant number, since it is smaller than the sum of its proper divisors (293827906121646).

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

200232394446930 is a wasteful number, since it uses less digits than its factorization.

200232394446930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49392.

The product of its (nonzero) digits is 6718464, while the sum is 51.

The spelling of 200232394446930 in words is "two hundred trillion, two hundred thirty-two billion, three hundred ninety-four million, four hundred forty-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 283 410 566 615 849 1230 1415 1698 2830 4245 8490 11603 19387 23206 29671 34809 38774 58015 58161 59342 69618 89013 96935 116030 116322 148355 174045 178026 193870 290805 296710 348090 445065 581610 794867 890130 1216511 1589734 2384601 2433022 3649533 3974335 4769202 5486521 6082555 7299066 7948670 8396893 10973042 11923005 12165110 16459563 16793786 18247665 23846010 25190679 27432605 32919126 36495330 41984465 50381358 54865210 82297815 83968930 125953395 164595630 224947361 251906790 344272613 449894722 575231677 674842083 688545226 1032817839 1124736805 1150463354 1349684166 1721363065 1725695031 2065635678 2249473610 2876158385 3374210415 3442726130 3451390062 5164089195 5752316770 6748420830 8628475155 10328178390 17256950310 23584498757 47168997514 70753496271 117922493785 141506992542 162790564591 235844987570 325581129182 353767481355 488371693773 707534962710 813952822955 976743387546 1627905645910 2441858468865 4883716937730 6674413148231 13348826296462 20023239444693 33372065741155 40046478889386 66744131482310 100116197223465 200232394446930