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172937044449 = 32132106632
BaseRepresentation
bin1010000100001111011…
…0011110000111100001
3121112101021120002200100
42201003312132013201
510313133340410244
6211240213013013
715331353423651
oct2410366360741
9545337502610
10172937044449
11673844a9134
1229624324169
1313400598300
148527b72361
154772605b69
hex2843d9e1e1

172937044449 has 27 divisors (see below), whose sum is σ = 270516644307. Its totient is φ = 106412816016.

The previous prime is 172937044417. The next prime is 172937044463. The reversal of 172937044449 is 944440739271.

It is a happy number.

The square root of 172937044449 is 415857.

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

172937044449 is a `hidden beast` number, since 1 + 7 + 2 + 93 + 70 + 44 + 449 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25582403025 + 147354641424 = 159945^2 + 383868^2 .

It is not a de Polignac number, because 172937044449 - 25 = 172937044417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 172937044395 and 172937044404.

It is not an unprimeable number, because it can be changed into a prime (172937044849) 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, 16213092 + ... + 16223754.

Almost surely, 2172937044449 is an apocalyptic number.

172937044449 is the 415857-th square number.

172937044449 is the 207929-th centered octagonal number.

It is an amenable number.

172937044449 is a deficient number, since it is larger than the sum of its proper divisors (97579599858).

172937044449 is an frugal number, since it uses more digits than its factorization.

172937044449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21358 (or 10679 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 172937044449 in words is "one hundred seventy-two billion, nine hundred thirty-seven million, forty-four thousand, four hundred forty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 10663 31989 95967 138619 415857 1247571 1802047 5406141 16218423 113699569 341098707 1023296121 1478094397 4434283191 13302849573 19215227161 57645681483 172937044449