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18291020112 = 24322320632677
BaseRepresentation
bin10001000010001110…
…101101000101010000
31202012201210002120100
4101002032231011100
5244430000120422
612223000012400
71215161051151
oct210216550520
952181702510
1018291020112
117836893152
123665761100
131956605c31
14c57343928
15720be17ac
hex4423ad150

18291020112 has 120 divisors (see below), whose sum is σ = 53460935424. Its totient is φ = 5826915072.

The previous prime is 18291020107. The next prime is 18291020119. The reversal of 18291020112 is 21102019281.

It is a super-3 number, since 3×182910201123 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18291020119) 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 23 ways as a sum of consecutive naturals, for example, 6831318 + ... + 6833994.

Almost surely, 218291020112 is an apocalyptic number.

18291020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18291020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26730467712).

18291020112 is an abundant number, since it is smaller than the sum of its proper divisors (35169915312).

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

18291020112 is a wasteful number, since it uses less digits than its factorization.

18291020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777 (or 4768 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

Adding to 18291020112 its reverse (21102019281), we get a palindrome (39393039393).

The spelling of 18291020112 in words is "eighteen billion, two hundred ninety-one million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 2063 2677 3312 4126 5354 6189 8031 8252 10708 12378 16062 16504 18567 21416 24093 24756 32124 33008 37134 42832 47449 48186 49512 61571 64248 74268 94898 96372 99024 123142 128496 142347 148536 184713 189796 192744 246284 284694 297072 369426 379592 385488 427041 492568 554139 569388 738852 759184 854082 985136 1108278 1138776 1477704 1708164 2216556 2277552 2955408 3416328 4433112 5522651 6832656 8866224 11045302 16567953 22090604 33135906 44181208 49703859 66271812 88362416 99407718 127020973 132543624 198815436 254041946 265087248 381062919 397630872 508083892 762125838 795261744 1016167784 1143188757 1524251676 2032335568 2286377514 3048503352 4572755028 6097006704 9145510056 18291020112