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40795102660 = 22513289135613
BaseRepresentation
bin100101111111100100…
…111101110111000100
310220022002011221022011
4211333210331313010
51132022021241120
630424020344004
72642640436234
oct457744756704
9126262157264
1040795102660
1116334854484
127aa6245004
133b01a0c300
141d9001dcc4
1510db6e2c5a
hex97f93ddc4

40795102660 has 72 divisors (see below), whose sum is σ = 93809628360. Its totient is φ = 14893452288.

The previous prime is 40795102627. The next prime is 40795102669. The reversal of 40795102660 is 6620159704.

It can be written as a sum of positive squares in 12 ways, for example, as 20855403396 + 19939699264 = 144414^2 + 141208^2 .

It is not an unprimeable number, because it can be changed into a prime (40795102669) 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, 233014 + ... + 368626.

It is an arithmetic number, because the mean of its divisors is an integer number (1302911505).

Almost surely, 240795102660 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 40795102660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46904814180).

40795102660 is an abundant number, since it is smaller than the sum of its proper divisors (53014525700).

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

40795102660 is a wasteful number, since it uses less digits than its factorization.

40795102660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135737 (or 135722 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 40795102660 in words is "forty billion, seven hundred ninety-five million, one hundred two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 169 178 260 338 356 445 676 845 890 1157 1690 1780 2314 3380 4628 5785 11570 15041 23140 30082 60164 75205 135613 150410 271226 300820 542452 678065 1356130 1762969 2712260 3525938 7051876 8814845 12069557 17629690 22918597 24139114 35259380 45837194 48278228 60347785 91674388 114592985 120695570 156904241 229185970 241391140 313808482 458371940 627616964 784521205 1569042410 2039755133 3138084820 4079510266 8159020532 10198775665 20397551330 40795102660