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668195632 = 241323197709
BaseRepresentation
bin100111110100111…
…101101100110000
31201120022212002101
4213310331230300
52332024230012
6150145430144
722362366136
oct4764755460
91646285071
10668195632
113131a72a5
1216793b354
13a8585040
1464a59756
153d9ddd57
hex27d3db30

668195632 has 80 divisors (see below), whose sum is σ = 1464281280. Its totient is φ = 293078016.

The previous prime is 668195621. The next prime is 668195653. The reversal of 668195632 is 236591866.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 942094 + ... + 942802.

It is an arithmetic number, because the mean of its divisors is an integer number (18303516).

Almost surely, 2668195632 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 668195632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732140640).

668195632 is an abundant number, since it is smaller than the sum of its proper divisors (796085648).

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

668195632 is a wasteful number, since it uses less digits than its factorization.

668195632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 944 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The square root of 668195632 is about 25849.4803042537. The cubic root of 668195632 is about 874.2477919591.

The spelling of 668195632 in words is "six hundred sixty-eight million, one hundred ninety-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 197 208 299 368 394 598 709 788 1196 1418 1576 2392 2561 2836 3152 4531 4784 5122 5672 9062 9217 10244 11344 16307 18124 18434 20488 32614 36248 36868 40976 58903 65228 72496 73736 117806 130456 139673 147472 211991 235612 260912 279346 423982 471224 558692 847964 942448 1117384 1695928 1815749 2234768 3212479 3391856 3631498 6424958 7262996 12849916 14525992 25699832 29051984 41762227 51399664 83524454 167048908 334097816 668195632