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18046217671056 = 24323540072
BaseRepresentation
bin1000001101001101101100…
…11001001101000110010000
32100220012102221022121102100
410012212312121031012100
54331132123210433211
6102214152402120400
73541540045156311
oct406466631150620
970805387277370
1018046217671056
1158283a3458613
122035589950100
13a0b99c001323
14465627a4a608
15214654673156
hex1069b664d190

18046217671056 has 45 divisors (see below), whose sum is σ = 50504487952971. Its totient is φ = 6015388898016.

The previous prime is 18046217671051. The next prime is 18046217671087. The reversal of 18046217671056 is 65017671264081.

The square root of 18046217671056 is 4248084.

It is a perfect power (a square), and thus also a powerful number.

18046217671056 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 621 + 7 + 6 + 7 + 1 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×180462176710562 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18046217670993 and 18046217671011.

It is not an unprimeable number, because it can be changed into a prime (18046217671051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50800005 + ... + 51154011.

Almost surely, 218046217671056 is an apocalyptic number.

18046217671056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18046217671056 is the 4248084-th square number.

It is an amenable number.

18046217671056 is an abundant number, since it is smaller than the sum of its proper divisors (32458270281915).

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

18046217671056 is an frugal number, since it uses more digits than its factorization.

18046217671056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708028 (or 354012 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 18046217671056 in words is "eighteen trillion, forty-six billion, two hundred seventeen million, six hundred seventy-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 354007 708014 1062021 1416028 2124042 2832056 3186063 4248084 5664112 6372126 8496168 12744252 16992336 25488504 50977008 125320956049 250641912098 375962868147 501283824196 751925736294 1002567648392 1127888604441 1503851472588 2005135296784 2255777208882 3007702945176 4511554417764 6015405890352 9023108835528 18046217671056