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66400005660 = 223519181321799
BaseRepresentation
bin111101110101101111…
…111010111000011100
320100101112022210000220
4331311233322320130
52041441400140120
650300450321340
74540311510222
oct756557727034
9210345283026
1066400005660
112618408803a
1210a51289250
136352669ca1
1432dc868b12
151ad9550b40
hexf75bfae1c

66400005660 has 96 divisors (see below), whose sum is σ = 196787136000. Its totient is φ = 16682008320.

The previous prime is 66400005613. The next prime is 66400005671. The reversal of 66400005660 is 6650000466.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45441 + ... + 367239.

It is an arithmetic number, because the mean of its divisors is an integer number (2049866000).

Almost surely, 266400005660 is an apocalyptic number.

66400005660 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 66400005660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98393568000).

66400005660 is an abundant number, since it is smaller than the sum of its proper divisors (130387130340).

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

66400005660 is a wasteful number, since it uses less digits than its factorization.

66400005660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322011 (or 322009 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 66400005660 in words is "sixty-six billion, four hundred million, five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 181 190 228 285 362 380 543 570 724 905 1086 1140 1810 2172 2715 3439 3620 5430 6878 10317 10860 13756 17195 20634 34390 41268 51585 68780 103170 206340 321799 643598 965397 1287196 1608995 1930794 3217990 3861588 4826985 6114181 6435980 9653970 12228362 18342543 19307940 24456724 30570905 36685086 58245619 61141810 73370172 91712715 116491238 122283620 174736857 183425430 232982476 291228095 349473714 366850860 582456190 698947428 873684285 1106666761 1164912380 1747368570 2213333522 3320000283 3494737140 4426667044 5533333805 6640000566 11066667610 13280001132 16600001415 22133335220 33200002830 66400005660