Search a number
-
+
869129217441 = 32191216272
BaseRepresentation
bin11001010010111000010…
…00110110010110100001
310002002101002221211202100
430221130020312112201
5103214434034424231
61503134503241013
7116535555312012
oct14513410662641
93062332854670
10869129217441
1130566086aa61
12120539749169
1363c5cb8a374
14300cd469009
151791c2481e6
hexca5c2365a1

869129217441 has 27 divisors (see below), whose sum is σ = 1262792250993. Its totient is φ = 576031605480.

The previous prime is 869129217433. The next prime is 869129217569. The reversal of 869129217441 is 144712921968.

The square root of 869129217441 is 932271.

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

869129217441 is a `hidden beast` number, since 8 + 69 + 129 + 2 + 17 + 441 = 666.

It is not a de Polignac number, because 869129217441 - 23 = 869129217433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (869129217431) 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, 534190470 + ... + 534192096.

Almost surely, 2869129217441 is an apocalyptic number.

869129217441 is the 932271-st square number.

869129217441 is the 466136-th centered octagonal number.

It is an amenable number.

869129217441 is a deficient number, since it is larger than the sum of its proper divisors (393663033552).

869129217441 is an frugal number, since it uses more digits than its factorization.

869129217441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642 (or 1821 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 869129217441 in words is "eight hundred sixty-nine billion, one hundred twenty-nine million, two hundred seventeen thousand, four hundred forty-one".

Divisors: 1 3 9 191 573 1627 1719 4881 14643 36481 109443 310757 328329 932271 2647129 2796813 7941387 23824161 59354587 178063761 505601639 534191283 1516804917 4550414751 96569913049 289709739147 869129217441