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667143648 = 25331753857
BaseRepresentation
bin100111110000111…
…100110111100000
31201111100102001000
4213300330313200
52331242044043
6150111112000
722350425133
oct4760746740
91644312030
10667143648
11312648996
12167512600
13a82a7272
146486421a
153d8822d3
hex27c3cde0

667143648 has 192 divisors, whose sum is σ = 2101619520. Its totient is φ = 205111296.

The previous prime is 667143647. The next prime is 667143649. The reversal of 667143648 is 846341766.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (667143647) and next prime (667143649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667143647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778036 + ... + 778892.

It is an arithmetic number, because the mean of its divisors is an integer number (10945935).

Almost surely, 2667143648 is an apocalyptic number.

667143648 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667143648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050809760).

667143648 is an abundant number, since it is smaller than the sum of its proper divisors (1434475872).

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

667143648 is a wasteful number, since it uses less digits than its factorization.

667143648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 932 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 667143648 is about 25829.1240269584. The cubic root of 667143648 is about 873.7887558561.

The spelling of 667143648 in words is "six hundred sixty-seven million, one hundred forty-three thousand, six hundred forty-eight".