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66702446240 = 2554394110303
BaseRepresentation
bin111110000111110001…
…101000111010100000
320101011121102100111212
4332013301220322200
52043101311234430
650350452525252
74550643303203
oct760761507240
9211147370455
1066702446240
1126319879131
1210b16620828
1363a0210901
14332aab593a
151b05d92b95
hexf87c68ea0

66702446240 has 96 divisors (see below), whose sum is σ = 161436312576. Its totient is φ = 26030269440.

The previous prime is 66702446231. The next prime is 66702446323. The reversal of 66702446240 is 4264420766.

66702446240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6468929 + ... + 6479231.

It is an arithmetic number, because the mean of its divisors is an integer number (1681628256).

Almost surely, 266702446240 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 66702446240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80718156288).

66702446240 is an abundant number, since it is smaller than the sum of its proper divisors (94733866336).

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

66702446240 is a wasteful number, since it uses less digits than its factorization.

66702446240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11302 (or 11294 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 41.

The spelling of 66702446240 in words is "sixty-six billion, seven hundred two million, four hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 941 1376 1720 1882 3440 3764 4705 6880 7528 9410 10303 15056 18820 20606 30112 37640 40463 41212 51515 75280 80926 82424 103030 150560 161852 164848 202315 206060 323704 329696 404630 412120 443029 647408 809260 824240 886058 1294816 1618520 1648480 1772116 2215145 3237040 3544232 4430290 6474080 7088464 8860580 9695123 14176928 17721160 19390246 35442320 38780492 48475615 70884640 77560984 96951230 155121968 193902460 310243936 387804920 416890289 775609840 833780578 1551219680 1667561156 2084451445 3335122312 4168902890 6670244624 8337805780 13340489248 16675611560 33351223120 66702446240