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18446861790361 = 809253092
BaseRepresentation
bin1000011000110111111101…
…01001001110110010011001
32102022111120111220121222201
410030123332221032302121
54404213133104242421
6103122212112050201
73612512301042214
oct414337651166231
972274514817881
1018446861790361
1159722a7632314
12209b160833961
13a3a6bac14a44
1447ab9359c77b
1521eca28a1b91
hex10c6fea4ec99

18446861790361 has 9 divisors (see below), whose sum is σ = 18473171625181. Its totient is φ = 18420589391584.

The previous prime is 18446861790323. The next prime is 18446861790403. The reversal of 18446861790361 is 16309716864481.

The square root of 18446861790361 is 4294981.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1561172781961 + 16885689008400 = 1249469^2 + 4109220^2 .

It is not a de Polignac number, because 18446861790361 - 213 = 18446861782169 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 18446861790293 and 18446861790302.

It is not an unprimeable number, because it can be changed into a prime (18446861770361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3474636975 + ... + 3474642283.

Almost surely, 218446861790361 is an apocalyptic number.

18446861790361 is the 4294981-st square number.

18446861790361 is the 2147491-st centered octagonal number.

It is an amenable number.

18446861790361 is a deficient number, since it is larger than the sum of its proper divisors (26309834820).

18446861790361 is an frugal number, since it uses more digits than its factorization.

18446861790361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12236 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 64.

The spelling of 18446861790361 in words is "eighteen trillion, four hundred forty-six billion, eight hundred sixty-one million, seven hundred ninety thousand, three hundred sixty-one".

Divisors: 1 809 5309 654481 4294981 28185481 3474639629 22802054129 18446861790361