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272424495249 = 321739812
BaseRepresentation
bin1111110110110111000…
…0111110100010010001
3222001011201202020121100
43331231300332202101
513430411132321444
6325052230215013
725452635000634
oct3755560764221
9861151666540
10272424495249
11a5597586455
124496a4b4469
131c8c6b4a9aa
14d284ad1c1b
157146848e69
hex3f6dc3e891

272424495249 has 9 divisors (see below), whose sum is σ = 393504310459. Its totient is φ = 181615286280.

The previous prime is 272424495227. The next prime is 272424495269. The reversal of 272424495249 is 942594424272.

The square root of 272424495249 is 521943.

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

272424495249 is a `hidden beast` number, since 2 + 72 + 4 + 2 + 4 + 49 + 524 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 171567438849 + 100857056400 = 414207^2 + 317580^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 272424495249 - 213 = 272424487057 is a prime.

It is a super-3 number, since 3×2724244952493 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 272424495195 and 272424495204.

It is not an unprimeable number, because it can be changed into a prime (272424495209) 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, 1478839 + ... + 1652819.

Almost surely, 2272424495249 is an apocalyptic number.

272424495249 is the 521943-rd square number.

272424495249 is the 260972-nd centered octagonal number.

It is an amenable number.

272424495249 is a deficient number, since it is larger than the sum of its proper divisors (121079815210).

272424495249 is an frugal number, since it uses more digits than its factorization.

272424495249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347968 (or 173984 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 272424495249 in words is "two hundred seventy-two billion, four hundred twenty-four million, four hundred ninety-five thousand, two hundred forty-nine".

Divisors: 1 3 9 173981 521943 1565829 30269388361 90808165083 272424495249