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18059405472 = 2532344918181
BaseRepresentation
bin10000110100011011…
…001010100010100000
31201121120221212000100
4100310123022202200
5243441201433342
612144003422400
71206346261623
oct206433124240
951546855010
1018059405472
117728077699
123600084a00
13191a62ca54
14c34691dba
1570a6dee4c
hex4346ca8a0

18059405472 has 72 divisors (see below), whose sum is σ = 51374150100. Its totient is φ = 6017725440.

The previous prime is 18059405459. The next prime is 18059405479. The reversal of 18059405472 is 27450495081.

18059405472 is a `hidden beast` number, since 1 + 8 + 0 + 594 + 0 + 54 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17957072016 + 102333456 = 134004^2 + 10116^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×180594054722 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18059405479) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 984222 + ... + 1002402.

Almost surely, 218059405472 is an apocalyptic number.

18059405472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18059405472 is an abundant number, since it is smaller than the sum of its proper divisors (33314744628).

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

18059405472 is a wasteful number, since it uses less digits than its factorization.

18059405472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21646 (or 21635 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 18059405472 in words is "eighteen billion, fifty-nine million, four hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3449 6898 10347 13796 18181 20694 27592 31041 36362 41388 54543 55184 62082 72724 82776 109086 110368 124164 145448 163629 165552 218172 248328 290896 327258 331104 436344 496656 581792 654516 872688 993312 1309032 1745376 2618064 5236128 62706269 125412538 188118807 250825076 376237614 501650152 564356421 752475228 1003300304 1128712842 1504950456 2006600608 2257425684 3009900912 4514851368 6019801824 9029702736 18059405472