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665329676448 = 253192831288919
BaseRepresentation
bin10011010111010001011…
…11010011000010100000
32100121022222011110212110
421223220233103002200
541400043344121243
61225352003555320
766032326640013
oct11535057230240
92317288143773
10665329676448
1123718a291438
12a8b4168bb40
134a9816349a8
14242b88d537a
1512490448e33
hex9ae8bd30a0

665329676448 has 96 divisors (see below), whose sum is σ = 1844908531200. Its totient is φ = 209361528576.

The previous prime is 665329676371. The next prime is 665329676449. The reversal of 665329676448 is 844676923566.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (665329676449) 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, 128268 + ... + 1160651.

It is an arithmetic number, because the mean of its divisors is an integer number (19217797200).

Almost surely, 2665329676448 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 665329676448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922454265600).

665329676448 is an abundant number, since it is smaller than the sum of its proper divisors (1179578854752).

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

665329676448 is a wasteful number, since it uses less digits than its factorization.

665329676448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289234 (or 1289226 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 66.

The spelling of 665329676448 in words is "six hundred sixty-five billion, three hundred twenty-nine million, six hundred seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 283 304 456 566 608 849 912 1132 1698 1824 2264 3396 4528 5377 6792 9056 10754 13584 16131 21508 27168 32262 43016 64524 86032 129048 172064 258096 516192 1288919 2577838 3866757 5155676 7733514 10311352 15467028 20622704 24489461 30934056 41245408 48978922 61868112 73468383 97957844 123736224 146936766 195915688 293873532 364764077 391831376 587747064 729528154 783662752 1094292231 1175494128 1459056308 2188584462 2350988256 2918112616 4377168924 5836225232 6930517463 8754337848 11672450464 13861034926 17508675696 20791552389 27722069852 35017351392 41583104778 55444139704 83166209556 110888279408 166332419112 221776558816 332664838224 665329676448