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18011347760256 = 27346904551459
BaseRepresentation
bin1000001100001100101111…
…11111000011010010000000
32100202212102210102121022120
410012012113333003102000
54330044220011312011
6102150144323004240
73536163662624634
oct406062777032200
970685383377276
1018011347760256
11581462a28a514
12202a877b09680
13a08602a27906
14463a7a924dc4
152137b323ca06
hex106197fc3480

18011347760256 has 32 divisors (see below), whose sum is σ = 47842642489200. Its totient is φ = 6003782586624.

The previous prime is 18011347760243. The next prime is 18011347760269. The reversal of 18011347760256 is 65206774311081.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18011347760243) and next prime (18011347760269).

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 18011347760199 and 18011347760208.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 23452275346 + ... + 23452276113.

Almost surely, 218011347760256 is an apocalyptic number.

18011347760256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18011347760256 is an abundant number, since it is smaller than the sum of its proper divisors (29831294728944).

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

18011347760256 is an equidigital number, since it uses as much as digits as its factorization.

18011347760256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46904551476 (or 46904551464 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 18011347760256 in words is "eighteen trillion, eleven billion, three hundred forty-seven million, seven hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 46904551459 93809102918 140713654377 187618205836 281427308754 375236411672 562854617508 750472823344 1125709235016 1500945646688 2251418470032 3001891293376 4502836940064 6003782586752 9005673880128 18011347760256