Search a number
-
+
1906743960801 = 32181225432
BaseRepresentation
bin11011101111110010110…
…010111110010011100001
320202021122021011012202100
4123233302302332103201
5222220002423221201
64015540204241013
7254520615151611
oct33576262762341
96667567135670
101906743960801
11675711291309
12269658840169
1310aa60cb23a4
146840337aa41
15348ead83886
hex1bbf2cbe4e1

1906743960801 has 27 divisors (see below), whose sum is σ = 2770575776787. Its totient is φ = 1263642536880.

The previous prime is 1906743960761. The next prime is 1906743960811. The reversal of 1906743960801 is 1080693476091.

The square root of 1906743960801 is 1380849.

It is a perfect power (a square), and thus also a powerful number.

1906743960801 is a `hidden beast` number, since 1 + 90 + 67 + 439 + 60 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21010792401 + 1885733168400 = 144951^2 + 1373220^2 .

It is not a de Polignac number, because 1906743960801 - 219 = 1906743436513 is a prime.

It is a super-3 number, since 3×19067439608013 (a number of 38 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1906743960811) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 749799736 + ... + 749802278.

Almost surely, 21906743960801 is an apocalyptic number.

1906743960801 is the 1380849-th square number.

1906743960801 is the 690425-th centered octagonal number.

It is an amenable number.

1906743960801 is a deficient number, since it is larger than the sum of its proper divisors (863831815986).

1906743960801 is an frugal number, since it uses more digits than its factorization.

1906743960801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1906743960801 in words is "one trillion, nine hundred six billion, seven hundred forty-three million, nine hundred sixty thousand, eight hundred one".

Divisors: 1 3 9 181 543 1629 2543 7629 22887 32761 98283 294849 460283 1380849 4142547 6466849 19400547 58201641 83311223 249933669 749801007 1170499669 3511499007 10534497021 211860440089 635581320267 1906743960801