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18202021824 = 263785715803
BaseRepresentation
bin10000111100111011…
…001100111111000000
31201222112022111212110
4100330323030333000
5244234204144244
612210100255320
71213030430010
oct207473147700
951875274773
1018202021824
1177a0626448
12363b9a1540
131941044c1c
14c495b7c40
15717eb19b9
hex43ceccfc0

18202021824 has 112 divisors (see below), whose sum is σ = 55107157248. Its totient is φ = 5194180608.

The previous prime is 18202021813. The next prime is 18202021843. The reversal of 18202021824 is 42812020281.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 18202021791 and 18202021800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1143907 + ... + 1159709.

Almost surely, 218202021824 is an apocalyptic number.

18202021824 is a gapful number since it is divisible by the number (14) 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 18202021824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27553578624).

18202021824 is an abundant number, since it is smaller than the sum of its proper divisors (36905135424).

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

18202021824 is a wasteful number, since it uses less digits than its factorization.

18202021824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16682 (or 16672 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 18202021824 in words is "eighteen billion, two hundred two million, twenty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 857 1344 1714 2571 3428 5142 5999 6856 10284 11998 13712 15803 17997 20568 23996 27424 31606 35994 41136 47409 47992 54848 63212 71988 82272 94818 95984 110621 126424 143976 164544 189636 191968 221242 252848 287952 331863 379272 383936 442484 505696 575904 663726 758544 884968 1011392 1151808 1327452 1517088 1769936 2654904 3034176 3539872 5309808 7079744 10619616 13543171 21239232 27086342 40629513 54172684 81259026 94802197 108345368 162518052 189604394 216690736 284406591 325036104 379208788 433381472 568813182 650072208 758417576 866762944 1137626364 1300144416 1516835152 2275252728 2600288832 3033670304 4550505456 6067340608 9101010912 18202021824