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18042264072 = 23327231556441
BaseRepresentation
bin10000110011011001…
…110001101000001000
31201120101200222102200
4100303121301220020
5243422304422242
612142152200200
71206050466660
oct206331615010
951511628380
1018042264072
11771942a048
1235b6399060
131916c0a801
14c322ad1a0
15708e5604c
hex433671a08

18042264072 has 96 divisors (see below), whose sum is σ = 58273188480. Its totient is φ = 4930801920.

The previous prime is 18042264059. The next prime is 18042264113. The reversal of 18042264072 is 27046224081.

18042264072 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 2 + 2 + 640 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766629 + ... + 789812.

It is an arithmetic number, because the mean of its divisors is an integer number (607012380).

Almost surely, 218042264072 is an apocalyptic number.

18042264072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18042264072 is an abundant number, since it is smaller than the sum of its proper divisors (40230924408).

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

18042264072 is a wasteful number, since it uses less digits than its factorization.

18042264072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556483 (or 1556476 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 18042264072 in words is "eighteen billion, forty-two million, two hundred sixty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 1556441 3112882 4669323 6225764 9338646 10895087 12451528 14007969 18677292 21790174 28015938 32685261 35798143 37354584 43580348 56031876 65370522 71596286 87160696 98055783 107394429 112063752 130741044 143192572 196111566 214788858 250587001 261482088 286385144 322183287 392223132 429577716 501174002 644366574 751761003 784446264 859155432 1002348004 1288733148 1503522006 2004696008 2255283009 2577466296 3007044012 4510566018 6014088024 9021132036 18042264072