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40104614646 = 2336757719211
BaseRepresentation
bin100101010110011010…
…111101101011110110
310211111221220111211000
4211112122331223312
51124113240132041
630231313024130
72616554412525
oct452632755366
9124457814730
1040104614646
1116010011628
127932b55046
133a21950615
141d264404bc
15109ac9dbb6
hex9566bdaf6

40104614646 has 64 divisors (see below), whose sum is σ = 90613013760. Its totient is φ = 13145172480.

The previous prime is 40104614633. The next prime is 40104614647. The reversal of 40104614646 is 64641640104.

40104614646 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 4 + 6 + 1 + 4 + 646 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40104614646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40104614647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2077981 + ... + 2097191.

It is an arithmetic number, because the mean of its divisors is an integer number (1415828340).

Almost surely, 240104614646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40104614646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45306506880).

40104614646 is an abundant number, since it is smaller than the sum of its proper divisors (50508399114).

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

40104614646 is a wasteful number, since it uses less digits than its factorization.

40104614646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19866 (or 19860 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 40104614646 in words is "forty billion, one hundred four million, six hundred fourteen thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 577 603 1154 1206 1731 1809 3462 3618 5193 10386 15579 19211 31158 38422 38659 57633 77318 115266 115977 172899 231954 345798 347931 518697 695862 1037394 1043793 1287137 2087586 2574274 3861411 7722822 11084747 11584233 22169494 23168466 33254241 34752699 66508482 69505398 99762723 199525446 299288169 598576338 742678049 1485356098 2228034147 4456068294 6684102441 13368204882 20052307323 40104614646