Search a number
-
+
1890297764161 = 312443512
BaseRepresentation
bin11011100000011110100…
…001101101100101000001
320200201012002201212020021
4123200132201231211001
5221432312211423121
64004220225213441
7253366224612502
oct33403641554501
96621162655207
101890297764161
11669741898364
12266428a91281
1310933c9616a1
14676c305aba9
1534287101641
hex1b81e86d941

1890297764161 has 9 divisors (see below), whose sum is σ = 1953286164129. Its totient is φ = 1829279170500.

The previous prime is 1890297764137. The next prime is 1890297764177. The reversal of 1890297764161 is 1614677920981.

The square root of 1890297764161 is 1374881.

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

It is not a de Polignac number, because 1890297764161 - 25 = 1890297764129 is a prime.

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 1890297764161.

It is not an unprimeable number, because it can be changed into a prime (1890297764111) 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 8 ways as a sum of consecutive naturals, for example, 42599136 + ... + 42643486.

Almost surely, 21890297764161 is an apocalyptic number.

1890297764161 is the 1374881-st square number.

1890297764161 is the 687441-st centered octagonal number.

It is an amenable number.

1890297764161 is a deficient number, since it is larger than the sum of its proper divisors (62988399968).

1890297764161 is an frugal number, since it uses more digits than its factorization.

1890297764161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88764 (or 44382 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 61.

The spelling of 1890297764161 in words is "one trillion, eight hundred ninety billion, two hundred ninety-seven million, seven hundred sixty-four thousand, one hundred sixty-one".

Divisors: 1 31 961 44351 1374881 42621311 1967011201 60977347231 1890297764161