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668521296 = 243313111813
BaseRepresentation
bin100111110110001…
…101001101010000
31201120221101211000
4213312031031100
52332120140141
6150200422000
722365223452
oct4766151520
91646841730
10668521296
113133a9a43
12167a77900
13a866a341
1464b022d2
153da555b6
hex27d8d350

668521296 has 80 divisors (see below), whose sum is σ = 1933715520. Its totient is φ = 221120640.

The previous prime is 668521283. The next prime is 668521297. The reversal of 668521296 is 692125866.

668521296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668521297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50686 + ... + 62498.

It is an arithmetic number, because the mean of its divisors is an integer number (24171444).

Almost surely, 2668521296 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 668521296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966857760).

668521296 is an abundant number, since it is smaller than the sum of its proper divisors (1265194224).

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

668521296 is a wasteful number, since it uses less digits than its factorization.

668521296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11961 (or 11949 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 668521296 is about 25855.7787738061. The cubic root of 668521296 is about 874.3897986699.

The spelling of 668521296 in words is "six hundred sixty-eight million, five hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 131 144 216 262 393 432 524 786 1048 1179 1572 2096 2358 3144 3537 4716 6288 7074 9432 11813 14148 18864 23626 28296 35439 47252 56592 70878 94504 106317 141756 189008 212634 283512 318951 425268 567024 637902 850536 1275804 1547503 1701072 2551608 3095006 4642509 5103216 6190012 9285018 12380024 13927527 18570036 24760048 27855054 37140072 41782581 55710108 74280144 83565162 111420216 167130324 222840432 334260648 668521296