Search a number
-
+
472431578068530 = 2355285768049103
BaseRepresentation
bin110101101101011001000110…
…0011001000011011000110010
32021221202000110222000012100000
41223122302030121003120302
5443410304332441143110
64352440023143210430
7201340024626101253
oct15332621431033062
92257660428005300
10472431578068530
1112759311a6101a3
1244ba04a3746a16
131737c1504166b2
148493b4b992b2a
1539940699401c0
hex1adac8c643632

472431578068530 has 96 divisors (see below), whose sum is σ = 1274261390648064. Its totient is φ = 125937656482176.

The previous prime is 472431578068427. The next prime is 472431578068531. The reversal of 472431578068530 is 35860875134274.

It is a happy number.

472431578068530 is a `hidden beast` number, since 4 + 7 + 2 + 4 + 3 + 1 + 578 + 0 + 6 + 8 + 53 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (472431578068531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27082042 + ... + 40967061.

It is an arithmetic number, because the mean of its divisors is an integer number (13273556152584).

Almost surely, 2472431578068530 is an apocalyptic number.

472431578068530 is an abundant number, since it is smaller than the sum of its proper divisors (801829812579534).

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

472431578068530 is a wasteful number, since it uses less digits than its factorization.

472431578068530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68051982 (or 68051970 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 472431578068530 in words is "four hundred seventy-two trillion, four hundred thirty-one billion, five hundred seventy-eight million, sixty-eight thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 2857 5714 8571 14285 17142 25713 28570 42855 51426 77139 85710 128565 154278 231417 257130 385695 462834 694251 771390 1157085 1388502 2314170 3471255 6942510 68049103 136098206 204147309 340245515 408294618 612441927 680491030 1020736545 1224883854 1837325781 2041473090 3062209635 3674651562 5511977343 6124419270 9186628905 11023954686 16535932029 18373257810 27559886715 33071864058 55119773430 82679660145 165359320290 194416287271 388832574542 583248861813 972081436355 1166497723626 1749746585439 1944162872710 2916244309065 3499493170878 5249239756317 5832488618130 8748732927195 10498479512634 15747719268951 17497465854390 26246198781585 31495438537902 47243157806853 52492397563170 78738596344755 94486315613706 157477192689510 236215789034265 472431578068530