Search a number
-
+
245864823135 = 351711324113539
BaseRepresentation
bin1110010011111010101…
…1110111100101011111
3212111121202001002212120
43210332223313211133
513012012343320020
6304540532234023
723522521341351
oct3447653674537
9774552032776
10245864823135
11952a8312708
123b79776b913
131a25345b589
14bc855510d1
1565dec91740
hex393eaf795f

245864823135 has 64 divisors (see below), whose sum is σ = 420503063040. Its totient is φ = 122237050880.

The previous prime is 245864823119. The next prime is 245864823151. The reversal of 245864823135 is 531328468542.

It is an interprime number because it is at equal distance from previous prime (245864823119) and next prime (245864823151).

It is not a de Polignac number, because 245864823135 - 24 = 245864823119 is a prime.

It is a super-3 number, since 3×2458648231353 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 69471196 + ... + 69474734.

It is an arithmetic number, because the mean of its divisors is an integer number (6570360360).

Almost surely, 2245864823135 is an apocalyptic number.

245864823135 is a deficient number, since it is larger than the sum of its proper divisors (174638239905).

245864823135 is a wasteful number, since it uses less digits than its factorization.

245864823135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6088.

The product of its digits is 5529600, while the sum is 51.

The spelling of 245864823135 in words is "two hundred forty-five billion, eight hundred sixty-four million, eight hundred twenty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 15 17 51 85 113 255 339 565 1695 1921 2411 3539 5763 7233 9605 10617 12055 17695 28815 36165 40987 53085 60163 122961 180489 204935 272443 300815 399907 614805 817329 902445 1199721 1362215 1999535 4086645 4631531 5998605 6798419 8532529 13894593 20395257 23157655 25597587 33992095 42662645 69472965 101976285 127987935 145052993 435158979 725264965 964175777 2175794895 2892527331 4820878885 14462636655 16390988209 49172964627 81954941045 245864823135