Search a number
-
+
57329119225 = 527268412
BaseRepresentation
bin110101011001000101…
…001110111111111001
312110222100212000010001
4311121011032333321
51414402223303400
642200413553001
74066445321200
oct653105167771
9173870760101
1057329119225
112234987a884
12b13b4a5761
1355382ca871
142abbc80237
151758020a6a
hexd5914eff9

57329119225 has 27 divisors (see below), whose sum is σ = 82706419341. Its totient is φ = 39305649600.

The previous prime is 57329119207. The next prime is 57329119231. The reversal of 57329119225 is 52291192375.

The square root of 57329119225 is 239435.

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 964661481 + 56364457744 = 31059^2 + 237412^2 .

It is not a de Polignac number, because 57329119225 - 217 = 57328988153 is a prime.

It is a super-2 number, since 2×573291192252 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8376805 + ... + 8383645.

Almost surely, 257329119225 is an apocalyptic number.

57329119225 is the 239435-th square number.

57329119225 is the 119718-th centered octagonal number.

It is an amenable number.

57329119225 is a deficient number, since it is larger than the sum of its proper divisors (25377300116).

57329119225 is an frugal number, since it uses more digits than its factorization.

57329119225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13706 (or 6853 counting only the distinct ones).

The product of its digits is 340200, while the sum is 46.

The spelling of 57329119225 in words is "fifty-seven billion, three hundred twenty-nine million, one hundred nineteen thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 6841 34205 47887 171025 239435 335209 1197175 1676045 8380225 46799281 233996405 327594967 1169982025 1637974835 2293164769 8189874175 11465823845 57329119225