Search a number
-
+
36655990266096 = 24321949160744953
BaseRepresentation
bin10000101010110101000110…
…10001110101100011110000
311210210021111222122120202200
420111122203101311203300
514301032432002003341
6205543310210143200
710502210416225665
oct1025324321654360
9153707458576680
1036655990266096
1110752799981693
124140214b81b00
13175b8502375c6
1490a233547a6c
1543878e2d7db6
hex2156a34758f0

36655990266096 has 240 divisors, whose sum is σ = 108385719536640. Its totient is φ = 11532712504320.

The previous prime is 36655990266079. The next prime is 36655990266113. The reversal of 36655990266096 is 69066209955663.

36655990266096 is a `hidden beast` number, since 3 + 6 + 6 + 5 + 5 + 9 + 9 + 0 + 2 + 6 + 609 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (36655990266079) and next prime (36655990266113).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 815406756 + ... + 815451708.

It is an arithmetic number, because the mean of its divisors is an integer number (451607164736).

Almost surely, 236655990266096 is an apocalyptic number.

36655990266096 is a gapful number since it is divisible by the number (36) 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 36655990266096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54192859768320).

36655990266096 is an abundant number, since it is smaller than the sum of its proper divisors (71729729270544).

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

36655990266096 is a wasteful number, since it uses less digits than its factorization.

36655990266096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46084 (or 46075 counting only the distinct ones).

The product of its (nonzero) digits is 850305600, while the sum is 72.

The spelling of 36655990266096 in words is "thirty-six trillion, six hundred fifty-five billion, nine hundred ninety million, two hundred sixty-six thousand, ninety-six".