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40216122765 = 3257139820787
BaseRepresentation
bin100101011101000100…
…010101010110001101
310211210201201201012100
4211131010111112031
51124330311412030
630250335025313
72622410255220
oct453504252615
9124721651170
1040216122765
1116067a532a5
12796436b239
133a3ba93260
141d371895b7
1510a5978360
hex95d11558d

40216122765 has 48 divisors (see below), whose sum is σ = 85794403968. Its totient is φ = 16970318208.

The previous prime is 40216122719. The next prime is 40216122809. The reversal of 40216122765 is 56722161204.

It is a happy number.

40216122765 is a `hidden beast` number, since 402 + 161 + 22 + 76 + 5 = 666.

It is not a de Polignac number, because 40216122765 - 211 = 40216120717 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4906299 + ... + 4914488.

It is an arithmetic number, because the mean of its divisors is an integer number (1787383416).

Almost surely, 240216122765 is an apocalyptic number.

40216122765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40216122765 is an abundant number, since it is smaller than the sum of its proper divisors (45578281203).

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

40216122765 is a wasteful number, since it uses less digits than its factorization.

40216122765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9820818 (or 9820815 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 40216122765 its reverse (56722161204), we get a palindrome (96938283969).

The spelling of 40216122765 in words is "forty billion, two hundred sixteen million, one hundred twenty-two thousand, seven hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 4095 9820787 29462361 49103935 68745509 88387083 127670231 147311805 206236527 343727545 383010693 441935415 618709581 638351155 893691617 1031182635 1149032079 1915053465 2681074851 3093547905 4468458085 5745160395 8043224553 13405374255 40216122765