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18283839456 = 2531759189887
BaseRepresentation
bin10001000001110011…
…010011111111100000
31202012020021021120010
4101001303103333200
5244421130330311
612222142044520
71215043033251
oct210163237740
952166237503
1018283839456
117832829223
123663279740
131954c9071c
14c563d4b28
15720273da6
hex441cd3fe0

18283839456 has 96 divisors (see below), whose sum is σ = 51679918080. Its totient is φ = 5638854656.

The previous prime is 18283839449. The next prime is 18283839481. The reversal of 18283839456 is 65493838281.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 18283839396 and 18283839405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1345 + ... + 191231.

It is an arithmetic number, because the mean of its divisors is an integer number (538332480).

Almost surely, 218283839456 is an apocalyptic number.

18283839456 is a gapful number since it is divisible by the number (16) 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 18283839456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25839959040).

18283839456 is an abundant number, since it is smaller than the sum of its proper divisors (33396078624).

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

18283839456 is a wasteful number, since it uses less digits than its factorization.

18283839456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189976 (or 189968 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 57.

The spelling of 18283839456 in words is "eighteen billion, two hundred eighty-three million, eight hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 59 68 96 102 118 136 177 204 236 272 354 408 472 544 708 816 944 1003 1416 1632 1888 2006 2832 3009 4012 5664 6018 8024 12036 16048 24072 32096 48144 96288 189887 379774 569661 759548 1139322 1519096 2278644 3038192 3228079 4557288 6076384 6456158 9114576 9684237 11203333 12912316 18229152 19368474 22406666 25824632 33609999 38736948 44813332 51649264 67219998 77473896 89626664 103298528 134439996 154947792 179253328 190456661 268879992 309895584 358506656 380913322 537759984 571369983 761826644 1075519968 1142739966 1523653288 2285479932 3047306576 4570959864 6094613152 9141919728 18283839456