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218968205742 = 23411139452137
BaseRepresentation
bin1100101111101110000…
…1011010100110101110
3202221012021022101010000
43023323201122212232
512041421330040432
6244332000325130
721551144016246
oct3137341324656
9687167271100
10218968205742
11849559309a0
12365300137a6
1317858007060
14a853340b26
155a6882d57c
hex32fb85a9ae

218968205742 has 80 divisors (see below), whose sum is σ = 576429183792. Its totient is φ = 61249841280.

The previous prime is 218968205741. The next prime is 218968205749. The reversal of 218968205742 is 247502869812.

218968205742 is a `hidden beast` number, since 2 + 1 + 8 + 9 + 68 + 2 + 0 + 574 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218968205741) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4702903 + ... + 4749234.

Almost surely, 2218968205742 is an apocalyptic number.

218968205742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

218968205742 is an abundant number, since it is smaller than the sum of its proper divisors (357460978050).

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

218968205742 is a wasteful number, since it uses less digits than its factorization.

218968205742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9452175 (or 9452166 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 218968205742 in words is "two hundred eighteen billion, nine hundred sixty-eight million, two hundred five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 286 297 351 429 594 702 858 891 1053 1287 1782 2106 2574 3861 7722 11583 23166 9452137 18904274 28356411 56712822 85069233 103973507 122877781 170138466 207947014 245755562 255207699 311920521 368633343 510415398 623841042 737266686 765623097 935761563 1105900029 1351655591 1531246194 1871523126 2211800058 2703311182 2807284689 3317700087 4054966773 5614569378 6635400174 8109933546 8421854067 9953100261 12164900319 16843708134 19906200522 24329800638 36494700957 72989401914 109484102871 218968205742