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665629384320 = 2734537615689
BaseRepresentation
bin10011010111110101001…
…10100101111010000000
32100122002212010012210000
421223322212211322000
541401202110244240
61225441431440000
766042626261625
oct11537246457200
92318085105700
10665629384320
1123732348639a
12a9005b26000
134a9cb75c824
142430663034c
15124ab8eb430
hex9afa9a5e80

665629384320 has 640 divisors, whose sum is σ = 2481786133200. Its totient is φ = 169842769920.

The previous prime is 665629384249. The next prime is 665629384327. The reversal of 665629384320 is 23483926566.

It is a happy number.

665629384320 is a `hidden beast` number, since 6 + 6 + 5 + 629 + 3 + 8 + 4 + 3 + 2 + 0 = 666.

665629384320 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 8 ways, for example, as 425427453504 + 240201930816 = 652248^2 + 490104^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (665629384327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 117000036 + ... + 117005724.

Almost surely, 2665629384320 is an apocalyptic number.

665629384320 is a gapful number since it is divisible by the number (60) 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 665629384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240893066600).

665629384320 is an abundant number, since it is smaller than the sum of its proper divisors (1816156748880).

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

665629384320 is a wasteful number, since it uses less digits than its factorization.

665629384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5818 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 665629384320 in words is "six hundred sixty-five billion, six hundred twenty-nine million, three hundred eighty-four thousand, three hundred twenty".