Search a number
-
+
58385224218870 = 2345467915405113
BaseRepresentation
bin11010100011001110111101…
…00011001011100011110110
321122201120110122212120210000
431101213132203023203312
530123040414400000440
6324101445101212130
715204123166316313
oct1521473643134366
9248646418776700
1058385224218870
1117670041a7665a
12666b545561046
13267691a6c31c3
14105bc0790dd0a
156b3b011e9730
hex3519de8cb8f6

58385224218870 has 80 divisors (see below), whose sum is σ = 157024943206560. Its totient is φ = 15566064610176.

The previous prime is 58385224218869. The next prime is 58385224218887. The reversal of 58385224218870 is 7881242258385.

58385224218870 is a `hidden beast` number, since 5 + 8 + 3 + 8 + 522 + 4 + 21 + 8 + 87 + 0 = 666.

It is a super-3 number, since 3×583852242188703 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58385224218798 and 58385224218807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3912567 + ... + 11492546.

It is an arithmetic number, because the mean of its divisors is an integer number (1962811790082).

Almost surely, 258385224218870 is an apocalyptic number.

58385224218870 is an abundant number, since it is smaller than the sum of its proper divisors (98639718987690).

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

58385224218870 is a wasteful number, since it uses less digits than its factorization.

58385224218870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15409811 (or 15409802 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 58385224218870 in words is "fifty-eight trillion, three hundred eighty-five billion, two hundred twenty-four million, two hundred eighteen thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 4679 9358 14037 23395 28074 42111 46790 70185 84222 126333 140370 210555 252666 378999 421110 631665 757998 1263330 1894995 3789990 15405113 30810226 46215339 77025565 92430678 138646017 154051130 231076695 277292034 415938051 462153390 693230085 831876102 1247814153 1386460170 2079690255 2495628306 4159380510 6239070765 12478141530 72080523727 144161047454 216241571181 360402618635 432483142362 648724713543 720805237270 1081207855905 1297449427086 1946174140629 2162415711810 3243623567715 3892348281258 5838522421887 6487247135430 9730870703145 11677044843774 19461741406290 29192612109435 58385224218870