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18887681232016 = 24472231172
BaseRepresentation
bin1000100101101101000011…
…00001111100110010010000
32110212122101222110111002221
410102312201201330302100
54433423432343411031
6104100514142350424
73656406230342602
oct422664141746220
973778358414087
1018887681232016
116022247722363
12215068628b414
13a7014030474c
14494250ab9172
1522b4a2b99a11
hex112da187cc90

18887681232016 has 45 divisors (see below), whose sum is σ = 37391680669369. Its totient is φ = 9242508005312.

The previous prime is 18887681231999. The next prime is 18887681232029. The reversal of 18887681232016 is 61023218678881.

It is a happy number.

The square root of 18887681232016 is 4345996.

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

It can be written as a sum of positive squares in only one way, i.e., 14703987600 + 18872977244416 = 121260^2 + 4344304^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 817035690 + ... + 817058806.

Almost surely, 218887681232016 is an apocalyptic number.

18887681232016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18887681232016 is the 4345996-th square number.

It is an amenable number.

18887681232016 is a deficient number, since it is larger than the sum of its proper divisors (18503999437353).

18887681232016 is an frugal number, since it uses more digits than its factorization.

18887681232016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46336 (or 23166 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 61.

The spelling of 18887681232016 in words is "eighteen trillion, eight hundred eighty-seven billion, six hundred eighty-one million, two hundred thirty-two thousand, sixteen".

Divisors: 1 2 4 8 16 47 94 188 376 752 2209 4418 8836 17672 23117 35344 46234 92468 184936 369872 1086499 2172998 4345996 8691992 17383984 51065453 102130906 204261812 408523624 534395689 817047248 1068791378 2137582756 4275165512 8550331024 25116597383 50233194766 100466389532 200932779064 401865558128 1180480077001 2360960154002 4721920308004 9443840616008 18887681232016