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18393241377 = 37231103149263
BaseRepresentation
bin10001001000010100…
…101001011100100001
31202110212010110210010
4101020110221130201
5300132132211002
612241050555133
71220541654300
oct211024513441
952425113703
1018393241377
117889561535
123693a38aa9
1319718467a4
14c66b52437
15729b8446c
hex448529721

18393241377 has 96 divisors (see below), whose sum is σ = 30047846400. Its totient is φ = 9966983040.

The previous prime is 18393241309. The next prime is 18393241393. The reversal of 18393241377 is 77314239381.

It is not a de Polignac number, because 18393241377 - 28 = 18393241121 is a prime.

It is a super-2 number, since 2×183932413772 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18393241577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69936148 + ... + 69936410.

It is an arithmetic number, because the mean of its divisors is an integer number (312998400).

Almost surely, 218393241377 is an apocalyptic number.

It is an amenable number.

18393241377 is a deficient number, since it is larger than the sum of its proper divisors (11654605023).

18393241377 is a wasteful number, since it uses less digits than its factorization.

18393241377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 556 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The spelling of 18393241377 in words is "eighteen billion, three hundred ninety-three million, two hundred forty-one thousand, three hundred seventy-seven".

Divisors: 1 3 7 21 31 49 93 103 147 149 217 263 309 447 651 721 789 1043 1519 1841 2163 3129 3193 4557 4619 5047 5523 7301 8153 9579 12887 13857 15141 15347 21903 22351 24459 27089 32333 38661 39187 46041 57071 67053 81267 96999 107429 117561 156457 171213 189623 226331 274309 322287 399497 469371 475757 568869 678993 752003 822927 839759 1198491 1214797 1327361 1427271 1920163 2256009 2519277 3330299 3644391 3982083 4036261 5760489 5878313 8503579 9990897 12108783 17634939 23312093 25510737 28253827 41148191 59525053 69936279 84761481 123444573 125124091 178575159 197776789 375372273 593330367 875868637 2627605911 6131080459 18393241377