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36406004336 = 2413226351193
BaseRepresentation
bin100001111001111101…
…111000101001110000
310110222012022122021222
4201321331320221300
51044024414114321
624420311004212
72426113634222
oct417175705160
9113865278258
1036406004336
1114492270999
127080369668
1335825c5400
141a95142412
15e3120e3ab
hex879f78a70

36406004336 has 60 divisors (see below), whose sum is σ = 76671820368. Its totient is φ = 16738555392.

The previous prime is 36406004287. The next prime is 36406004351. The reversal of 36406004336 is 63340060463.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 36406004296 and 36406004305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 685556 + ... + 736748.

Almost surely, 236406004336 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 36406004336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38335910184).

36406004336 is an abundant number, since it is smaller than the sum of its proper divisors (40265816032).

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

36406004336 is a wasteful number, since it uses less digits than its factorization.

36406004336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51490 (or 51471 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 35.

Adding to 36406004336 its reverse (63340060463), we get a palindrome (99746064799).

The spelling of 36406004336 in words is "thirty-six billion, four hundred six million, four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 263 338 526 676 1052 1352 2104 2704 3419 4208 6838 13676 27352 44447 51193 54704 88894 102386 177788 204772 355576 409544 665509 711152 819088 1331018 2662036 5324072 8651617 10648144 13463759 17303234 26927518 34606468 53855036 69212936 107710072 138425872 175028867 215420144 350057734 700115468 1400230936 2275375271 2800461872 4550750542 9101501084 18203002168 36406004336