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66447387360 = 25325233198043
BaseRepresentation
bin111101111000100100…
…101010101011100000
320100111211111000111200
4331320210222223200
52042041012343420
650305302041200
74541425321254
oct757044525340
9210454430450
1066447387360
11261a88aa672
1210a65119200
13635c4196b3
143304c80264
151add7aeb90
hexf7892aae0

66447387360 has 144 divisors (see below), whose sum is σ = 227726042544. Its totient is φ = 17643165696.

The previous prime is 66447387341. The next prime is 66447387361. The reversal of 66447387360 is 6378374466.

It is a happy number.

66447387360 is a `hidden beast` number, since 6 + 64 + 473 + 87 + 36 + 0 = 666.

66447387360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66447387297 and 66447387306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66447387361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236499 + ... + 434541.

It is an arithmetic number, because the mean of its divisors is an integer number (1581430851).

Almost surely, 266447387360 is an apocalyptic number.

66447387360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66447387360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113863021272).

66447387360 is an abundant number, since it is smaller than the sum of its proper divisors (161278655184).

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

66447387360 is a wasteful number, since it uses less digits than its factorization.

66447387360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198297 (or 198286 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 66447387360 in words is "sixty-six billion, four hundred forty-seven million, three hundred eighty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 233 240 288 360 466 480 699 720 932 1165 1398 1440 1864 2097 2330 2796 3495 3728 4194 4660 5592 6990 7456 8388 9320 10485 11184 13980 16776 18640 20970 22368 27960 33552 37280 41940 55920 67104 83880 111840 167760 198043 335520 396086 594129 792172 990215 1188258 1584344 1782387 1980430 2376516 2970645 3168688 3564774 3960860 4753032 5941290 6337376 7129548 7921720 8911935 9506064 11882580 14259096 15843440 17823870 19012128 23765160 28518192 31686880 35647740 46144019 47530320 57036384 71295480 92288038 95060640 138432057 142590960 184576076 230720095 276864114 285181920 369152152 415296171 461440190 553728228 692160285 738304304 830592342 922880380 1107456456 1384320570 1476608608 1661184684 1845760760 2076480855 2214912912 2768641140 3322369368 3691521520 4152961710 4429825824 5537282280 6644738736 7383043040 8305923420 11074564560 13289477472 16611846840 22149129120 33223693680 66447387360