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66327446240 = 25511311215679
BaseRepresentation
bin111101110001011011…
…001000001011100000
320100012110210101012222
4331301123020023200
52041314311234430
650245335210212
74535440663556
oct756133101340
9210173711188
1066327446240
1126147129080
1210a30b16968
136340613513
1432d2d7bbd6
151ad2ebb9e5
hexf716c82e0

66327446240 has 96 divisors (see below), whose sum is σ = 176458383360. Its totient is φ = 23341017600.

The previous prime is 66327446203. The next prime is 66327446281. The reversal of 66327446240 is 4264472366.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 66327446191 and 66327446200.

It is a congruent 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, 553280 + ... + 662399.

It is an arithmetic number, because the mean of its divisors is an integer number (1838108160).

Almost surely, 266327446240 is an apocalyptic number.

It is an amenable number.

66327446240 is an abundant number, since it is smaller than the sum of its proper divisors (110130937120).

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

66327446240 is a wasteful number, since it uses less digits than its factorization.

66327446240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215736 (or 1215728 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 44.

The spelling of 66327446240 in words is "sixty-six billion, three hundred twenty-seven million, four hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 440 496 620 682 880 992 1240 1364 1705 1760 2480 2728 3410 4960 5456 6820 10912 13640 27280 54560 1215679 2431358 4862716 6078395 9725432 12156790 13372469 19450864 24313580 26744938 37686049 38901728 48627160 53489876 66862345 75372098 97254320 106979752 133724690 150744196 188430245 194508640 213959504 267449380 301488392 376860490 414546539 427919008 534898760 602976784 753720980 829093078 1069797520 1205953568 1507441960 1658186156 2072732695 2139595040 3014883920 3316372312 4145465390 6029767840 6632744624 8290930780 13265489248 16581861560 33163723120 66327446240