Search a number
-
+
264987069700230 = 232531211833258919
BaseRepresentation
bin111100010000000100011100…
…001010001101100010000110
31021202020111221111111102020100
4330100010130022031202012
5234213022004320401410
62335325213531144530
7106546453420425423
oct7420043412154206
91252214844442210
10264987069700230
1177484426713359
12258783295a5146
13b4b22340c4b77
14496162a71cd4a
152097dc60cd8c0
hexf1011c28d886

264987069700230 has 144 divisors (see below), whose sum is σ = 711970942419360. Its totient is φ = 68377716760320.

The previous prime is 264987069700217. The next prime is 264987069700231. The reversal of 264987069700230 is 32007960789462.

264987069700230 is a `hidden beast` number, since 2 + 6 + 498 + 70 + 6 + 9 + 70 + 0 + 2 + 3 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264987069700231) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1023306711 + ... + 1023565629.

It is an arithmetic number, because the mean of its divisors is an integer number (4944242655690).

Almost surely, 2264987069700230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264987069700230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355985471209680).

264987069700230 is an abundant number, since it is smaller than the sum of its proper divisors (446983872719130).

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

264987069700230 is a wasteful number, since it uses less digits than its factorization.

264987069700230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270827 (or 270793 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 264987069700230 in words is "two hundred sixty-four trillion, nine hundred eighty-seven billion, sixty-nine million, seven hundred thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 961 1395 1922 2790 2883 4805 5766 8649 9610 11833 14415 17298 23666 28830 35499 43245 59165 70998 86490 106497 118330 177495 212994 258919 354990 366823 517838 532485 733646 776757 1064970 1100469 1294595 1553514 1834115 2200938 2330271 2589190 3301407 3668230 3883785 4660542 5502345 6602814 7767570 8026489 11004690 11371513 11651355 16052978 16507035 22743026 23302710 24079467 33014070 34114539 40132445 48158934 56857565 68229078 72238401 80264890 102343617 113715130 120397335 144476802 170572695 204687234 240794670 248821159 341145390 361192005 497642318 511718085 722384010 746463477 1023436170 1244105795 1492926954 2239390431 2488211590 3063788527 3732317385 4478780862 6127577054 7464634770 9191365581 11196952155 15318942635 18382731162 22393904310 27574096743 30637885270 45956827905 55148193486 91913655810 94977444337 137870483715 189954888674 275740967430 284932333011 474887221685 569864666022 854796999033 949774443370 1424661665055 1709593998066 2849323330110 2944300774447 4273984995165 5888601548894 8547969990330 8832902323341 14721503872235 17665804646682 26498706970023 29443007744470 44164511616705 52997413940046 88329023233410 132493534850115 264987069700230