Search a number
-
+
242376611862 = 2371179284061
BaseRepresentation
bin1110000110111011000…
…1011001100000010110
3212011121122100121120110
43201232301121200112
512432341403034422
6303202443543450
723340214131240
oct3415661314026
9764548317513
10242376611862
1193878307980
123ab8352ab86
1319b1888ba38
14ba34181090
15648891260c
hex386ec59816

242376611862 has 96 divisors (see below), whose sum is σ = 612121999104. Its totient is φ = 62157326400.

The previous prime is 242376611861. The next prime is 242376611881. The reversal of 242376611862 is 268116673242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242376611861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2841312 + ... + 2925372.

It is an arithmetic number, because the mean of its divisors is an integer number (6376270824).

Almost surely, 2242376611862 is an apocalyptic number.

242376611862 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242376611862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306060999552).

242376611862 is an abundant number, since it is smaller than the sum of its proper divisors (369745387242).

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

242376611862 is a wasteful number, since it uses less digits than its factorization.

242376611862 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84242 (or 84163 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The spelling of 242376611862 in words is "two hundred forty-two billion, three hundred seventy-six million, six hundred eleven thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 79 154 158 231 237 462 474 553 869 1106 1659 1738 2607 3318 5214 6083 6241 12166 12482 18249 18723 36498 37446 43687 68651 84061 87374 131061 137302 168122 205953 252183 262122 411906 480557 504366 588427 924671 961114 1176854 1441671 1765281 1849342 2774013 2883342 3530562 5548026 6472697 6640819 12945394 13281638 19418091 19922457 38836182 39844914 46485733 73049009 92971466 139457199 146098018 219147027 278914398 438294054 511343063 524624701 1022686126 1049249402 1534029189 1573874103 3068058378 3147748206 3672372907 5770871711 7344745814 11017118721 11541743422 17312615133 22034237442 34625230266 40396101977 80792203954 121188305931 242376611862