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18285384096 = 253372431911
BaseRepresentation
bin10001000001111001…
…001101000110100000
31202012100011202102000
4101001321031012200
5244422024242341
612222235124000
71215062125500
oct210171150640
952170152360
1018285384096
117833693791
1236638a3600
1319553b1805
14c566b7a00
1572047b8b6
hex441e4d1a0

18285384096 has 144 divisors (see below), whose sum is σ = 62039839680. Its totient is φ = 5224383360.

The previous prime is 18285384079. The next prime is 18285384101. The reversal of 18285384096 is 69048358281.

18285384096 is a `hidden beast` number, since 18 + 2 + 8 + 538 + 4 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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, 173620 + ... + 258291.

It is an arithmetic number, because the mean of its divisors is an integer number (430832220).

Almost surely, 218285384096 is an apocalyptic number.

18285384096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18285384096 is an abundant number, since it is smaller than the sum of its proper divisors (43754455584).

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

18285384096 is a wasteful number, since it uses less digits than its factorization.

18285384096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431944 (or 431923 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 18285384096 in words is "eighteen billion, two hundred eighty-five million, three hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 431911 863822 1295733 1727644 2591466 3023377 3455288 3887199 5182932 6046754 6910576 7774398 9070131 10365864 11661597 12093508 13821152 15548796 18140262 20731728 21163639 23323194 24187016 27210393 31097592 36280524 41463456 42327278 46646388 48374032 54420786 62195184 63490917 72561048 81631179 84654556 93292776 96748064 108841572 124390368 126981834 145122096 163262358 169309112 186585552 190472751 217683144 253963668 290244192 326524716 338618224 373171104 380945502 435366288 507927336 571418253 653049432 677236448 761891004 870732576 1015854672 1142836506 1306098864 1523782008 2031709344 2285673012 2612197728 3047564016 4571346024 6095128032 9142692048 18285384096