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668137895184 = 243411321257003
BaseRepresentation
bin10011011100100000001…
…11110011010100010000
32100212120200022202202210
421232100013303110100
541421321300121214
61230534401512120
766162036255444
oct11562007632420
92325520282683
10668137895184
112383a0472771
12a95a6042640
134b00b37ba96
14244a3858824
15125a6c58b59
hex9b901f3510

668137895184 has 80 divisors (see below), whose sum is σ = 1769466371904. Its totient is φ = 217115289600.

The previous prime is 668137895149. The next prime is 668137895207. The reversal of 668137895184 is 481598731866.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 2471227 + ... + 2728229.

Almost surely, 2668137895184 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 668137895184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884733185952).

668137895184 is an abundant number, since it is smaller than the sum of its proper divisors (1101328476720).

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

668137895184 is a wasteful number, since it uses less digits than its factorization.

668137895184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258376 (or 258370 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 66.

The spelling of 668137895184 in words is "six hundred sixty-eight billion, one hundred thirty-seven million, eight hundred ninety-five thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1321 1968 2642 3963 5284 7926 10568 15852 21136 31704 54161 63408 108322 162483 216644 257003 324966 433288 514006 649932 771009 866576 1028012 1299864 1542018 2056024 2599728 3084036 4112048 6168072 10537123 12336144 21074246 31611369 42148492 63222738 84296984 126445476 168593968 252890952 339500963 505781904 679001926 1018502889 1358003852 2037005778 2716007704 4074011556 5432015408 8148023112 13919539483 16296046224 27839078966 41758618449 55678157932 83517236898 111356315864 167034473796 222712631728 334068947592 668137895184