Search a number
-
+
36405378683543 = 103769544384443
BaseRepresentation
bin10000100011100010010011…
…01010100001001010010111
311202220022122102202010002202
420101301021222201022113
514232431203420333133
6205232222230155115
710445126136016502
oct1021611152411227
9152808572663082
1036405378683543
11106664861a9411
1240bb7337b2a9b
131741021555b5c
148dc05b816139
15431ec29642e8
hex211c49aa1297

36405378683543 has 16 divisors (see below), whose sum is σ = 36813827930880. Its totient is φ = 35998005602304.

The previous prime is 36405378683539. The next prime is 36405378683551. The reversal of 36405378683543 is 34538687350463.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 36405378683543 - 22 = 36405378683539 is a prime.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36405378683543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36405378683503) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 431081480 + ... + 431165922.

It is an arithmetic number, because the mean of its divisors is an integer number (2300864245680).

Almost surely, 236405378683543 is an apocalyptic number.

36405378683543 is a deficient number, since it is larger than the sum of its proper divisors (408449247337).

36405378683543 is a wasteful number, since it uses less digits than its factorization.

36405378683543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90758.

The product of its (nonzero) digits is 522547200, while the sum is 65.

The spelling of 36405378683543 in words is "thirty-six trillion, four hundred five billion, three hundred seventy-eight million, six hundred eighty-three thousand, five hundred forty-three".

Divisors: 1 103 769 5443 79207 84443 560629 4185667 8697629 64936667 431123701 459623249 6688476701 47341194647 353450278481 36405378683543