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478742050696 = 237131409466723
BaseRepresentation
bin1101111011101110011…
…11111111011110001000
31200202201100121222221211
412331313033333132020
530320430431110241
61003533035342504
746405450200640
oct6756717773610
91622640558854
10478742050696
11175040452558
12789498b1a34
13361b6c6c250
1419257c45520
15c6be731781
hex6f773ff788

478742050696 has 64 divisors (see below), whose sum is σ = 1105575811200. Its totient is φ = 189257637888.

The previous prime is 478742050639. The next prime is 478742050697. The reversal of 478742050696 is 696050247874.

It is a happy number.

It is a super-2 number, since 2×4787420506962 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 478742050696.

It is not an unprimeable number, because it can be changed into a prime (478742050697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792391 + ... + 1259113.

It is an arithmetic number, because the mean of its divisors is an integer number (17274622050).

Almost surely, 2478742050696 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 478742050696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552787905600).

478742050696 is an abundant number, since it is smaller than the sum of its proper divisors (626833760504).

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

478742050696 is a wasteful number, since it uses less digits than its factorization.

478742050696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468158 (or 468154 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 478742050696 in words is "four hundred seventy-eight billion, seven hundred forty-two million, fifty thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1409 2818 5636 9863 11272 18317 19726 36634 39452 73268 78904 128219 146536 256438 466723 512876 933446 1025752 1866892 3267061 3733784 6067399 6534122 12134798 13068244 24269596 26136488 42471793 48539192 84943586 169887172 339774344 657612707 1315225414 2630450828 4603288949 5260901656 8548965191 9206577898 17097930382 18413155796 34195860764 36826311592 59842756337 68391721528 119685512674 239371025348 478742050696