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46718668090000 = 24544671866809
BaseRepresentation
bin10101001111101100010011…
…00111011010101010010000
320010102021001022021012011101
422213312021213122222100
522110414313012340000
6243210132042354144
712561212101402624
oct1247661147325220
9203367038235141
1046718668090000
1113982304202475
1252a64834bb954
13200b72284099a
14b772a4a29184
155603d6ad2e6a
hex2a7d899daa90

46718668090000 has 50 divisors (see below), whose sum is σ = 113110567336910. Its totient is φ = 18687467232000.

The previous prime is 46718668089991. The next prime is 46718668090001. The reversal of 46718668090000 is 9086681764.

It is a happy number.

46718668090000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 18520146678016 + 28198521411984 = 4303504^2 + 5310228^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (46718668090001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2335923405 + ... + 2335943404.

Almost surely, 246718668090000 is an apocalyptic number.

46718668090000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46718668090000 is an abundant number, since it is smaller than the sum of its proper divisors (66391899246910).

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

46718668090000 is an equidigital number, since it uses as much as digits as its factorization.

46718668090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671866837 (or 4671866816 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 46718668090000 in words is "forty-six trillion, seven hundred eighteen billion, six hundred sixty-eight million, ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 4671866809 9343733618 18687467236 23359334045 37374934472 46718668090 74749868944 93437336180 116796670225 186874672360 233593340450 373749344720 467186680900 583983351125 934373361800 1167966702250 1868746723600 2335933404500 2919916755625 4671866809000 5839833511250 9343733618000 11679667022500 23359334045000 46718668090000