Search a number
-
+
18709041961 = 1922323132
BaseRepresentation
bin10001011011001001…
…010101001100101001
31210021212100210202001
4101123021111030221
5301304003320321
612332251411001
71231425142561
oct213311251451
953255323661
1018709041961
117a30848155
123761753a61
1319c20b743c
14c96a79da1
15747764c91
hex45b255329

18709041961 has 27 divisors (see below), whose sum is σ = 20707540119. Its totient is φ = 16899566112.

The previous prime is 18709041947. The next prime is 18709041979. The reversal of 18709041961 is 16914090781.

The square root of 18709041961 is 136781.

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

It can be written as a sum of positive squares in only one way, i.e., 119355625 + 18589686336 = 10925^2 + 136344^2 .

It is not a de Polignac number, because 18709041961 - 213 = 18709033769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18709044961) 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, 59773141 + ... + 59773453.

Almost surely, 218709041961 is an apocalyptic number.

18709041961 is the 136781-st square number.

18709041961 is the 68391-st centered octagonal number.

It is an amenable number.

18709041961 is a deficient number, since it is larger than the sum of its proper divisors (1998498158).

18709041961 is an frugal number, since it uses more digits than its factorization.

18709041961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 46.

The spelling of 18709041961 in words is "eighteen billion, seven hundred nine million, forty-one thousand, nine hundred sixty-one".

Divisors: 1 19 23 313 361 437 529 5947 7199 8303 10051 97969 112993 136781 165577 190969 1861411 2253287 2598839 3145963 35366809 42812453 51825601 59773297 813436607 984686419 18709041961