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666345111432 = 23371121323372963
BaseRepresentation
bin10011011001001010100…
…00110111111110001000
32100200221201212220210120
421230211100313332020
541404133322031212
61230040440143240
766066436664610
oct11544520677610
92320851786716
10666345111432
11237660497800
12a9185767b20
134aab3b174b0
14243736dda40
15124ee67888c
hex9b25437f88

666345111432 has 768 divisors, whose sum is σ = 2415983431680. Its totient is φ = 148636477440.

The previous prime is 666345111379. The next prime is 666345111449. The reversal of 666345111432 is 234111543666.

It is a happy number.

666345111432 is digitally balanced in base 2 and base 4, because in such bases 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 224887183 + ... + 224890145.

It is an arithmetic number, because the mean of its divisors is an integer number (3145811760).

Almost surely, 2666345111432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666345111432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207991715840).

666345111432 is an abundant number, since it is smaller than the sum of its proper divisors (1749638320248).

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

666345111432 is a wasteful number, since it uses less digits than its factorization.

666345111432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3059 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

It can be divided in two parts, 666345 and 111432, that added together give a palindrome (777777).

The spelling of 666345111432 in words is "six hundred sixty-six billion, three hundred forty-five million, one hundred eleven thousand, four hundred thirty-two".