Search a number
-
+
20005106735745 = 3252231993533307
BaseRepresentation
bin1001000110001110011010…
…10001111101101010000001
32121211110200021200120010200
410203013031101331222001
510110230424311020440
6110314115201115413
74133215123404165
oct443071521755201
977743607616120
1020005106735745
1164131332471aa
1222b1159928b69
13b216202a3c71
144d2376584ca5
1524a5a3372c30
hex1231cd47da81

20005106735745 has 24 divisors (see below), whose sum is σ = 34831013957376. Its totient is φ = 10621545454368.

The previous prime is 20005106735737. The next prime is 20005106735759. The reversal of 20005106735745 is 54753760150002.

It is a happy number.

20005106735745 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 5 + 1 + 0 + 6 + 73 + 574 + 5 = 666.

It is not a de Polignac number, because 20005106735745 - 23 = 20005106735737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 20005106735745.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 996756619 + ... + 996776688.

It is an arithmetic number, because the mean of its divisors is an integer number (1451292248224).

Almost surely, 220005106735745 is an apocalyptic number.

It is an amenable number.

20005106735745 is a deficient number, since it is larger than the sum of its proper divisors (14825907221631).

20005106735745 is a wasteful number, since it uses less digits than its factorization.

20005106735745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993533541 (or 1993533538 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

Adding to 20005106735745 its reverse (54753760150002), we get a palindrome (74758866885747).

The spelling of 20005106735745 in words is "twenty trillion, five billion, one hundred six million, seven hundred thirty-five thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 45 223 669 1115 2007 3345 10035 1993533307 5980599921 9967666535 17941799763 29902999605 89708998815 444557927461 1333673782383 2222789637305 4001021347149 6668368911915 20005106735745