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13441666032 = 2432591582117
BaseRepresentation
bin11001000010010111…
…11000101111110000
31021200202212101100200
430201023320233300
5210012031303112
610101445315200
7654045163464
oct144113705760
937622771320
1013441666032
115778519703
122731705b00
131362a41252
149172984a4
1553a0e5cdc
hex3212f8bf0

13441666032 has 60 divisors (see below), whose sum is σ = 38255613240. Its totient is φ = 4404610944.

The previous prime is 13441666019. The next prime is 13441666037. The reversal of 13441666032 is 23066614431.

13441666032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13441666037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 782563 + ... + 799554.

It is an arithmetic number, because the mean of its divisors is an integer number (637593554).

Almost surely, 213441666032 is an apocalyptic number.

13441666032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13441666032 is an abundant number, since it is smaller than the sum of its proper divisors (24813947208).

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

13441666032 is a wasteful number, since it uses less digits than its factorization.

13441666032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582190 (or 1582181 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 13441666032 in words is "thirteen billion, four hundred forty-one million, six hundred sixty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2832 4248 8496 1582117 3164234 4746351 6328468 9492702 12656936 14239053 18985404 25313872 28478106 37970808 56956212 75941616 93344903 113912424 186689806 227824848 280034709 373379612 560069418 746759224 840104127 1120138836 1493518448 1680208254 2240277672 3360416508 4480555344 6720833016 13441666032