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666283968 = 2634724361
BaseRepresentation
bin100111101101101…
…010111111000000
31201102201201210000
4213231222333000
52331032041333
6150040440000
722340214600
oct4755527700
91642651700
10666283968
11312111009
12167179000
13a8065b8c
14646bcc00
153d762713
hex27b6afc0

666283968 has 420 divisors, whose sum is σ = 2389507032. Its totient is φ = 182891520.

The previous prime is 666283939. The next prime is 666283999. The reversal of 666283968 is 869382666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 10922658 + ... + 10922718.

Almost surely, 2666283968 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 666283968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194753516).

666283968 is an abundant number, since it is smaller than the sum of its proper divisors (1723223064).

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

666283968 is a wasteful number, since it uses less digits than its factorization.

666283968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 116 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 666283968 is about 25812.4769830406. The cubic root of 666283968 is about 873.4132737008.

The spelling of 666283968 in words is "six hundred sixty-six million, two hundred eighty-three thousand, nine hundred sixty-eight".