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18282010010192 = 24192292099125113
BaseRepresentation
bin1000010100000100111001…
…01101100110001001010000
32101201202001201012111210222
410022002130231212021100
54344013024030311232
6102514350042212212
73564555152035265
oct412023455461120
971652051174728
1018282010010192
1159093a2048985
1220732141b4068
13a27ca87440a6
14472bd556b26c
1521a854ed9d12
hex10a09cb66250

18282010010192 has 80 divisors (see below), whose sum is σ = 37466638440000. Its totient is φ = 8617906732032.

The previous prime is 18282010010107. The next prime is 18282010010213. The reversal of 18282010010192 is 29101001028281.

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, 146061428 + ... + 146186540.

It is an arithmetic number, because the mean of its divisors is an integer number (468332980500).

Almost surely, 218282010010192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18282010010192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18733319220000).

18282010010192 is an abundant number, since it is smaller than the sum of its proper divisors (19184628429808).

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

18282010010192 is a wasteful number, since it uses less digits than its factorization.

18282010010192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127468 (or 127462 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 35.

The spelling of 18282010010192 in words is "eighteen trillion, two hundred eighty-two billion, ten million, ten thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 19 38 76 152 229 304 458 916 1832 2099 3664 4198 4351 8396 8702 16792 17404 33584 34808 39881 69616 79762 125113 159524 250226 319048 480671 500452 638096 961342 1000904 1922684 2001808 2377147 3845368 4754294 7690736 9132749 9508588 18265498 19017176 28650877 36530996 38034352 57301754 73061992 114603508 146123984 229207016 262612187 458414032 525224374 544366663 1050448748 1088733326 2100897496 2177466652 4201794992 4354933304 4989631553 8709866608 9979263106 19958526212 39917052424 60138190823 79834104848 120276381646 240552763292 481105526584 962211053168 1142625625637 2285251251274 4570502502548 9141005005096 18282010010192