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470539749681 = 32137216692
BaseRepresentation
bin1101101100011100101…
…10101100100100110001
31122222112201112221020100
412312032112230210301
530202131133442211
61000055111503013
745665261610621
oct6661626544461
91588481487210
10470539749681
11171611470391
127723a987a69
13354aa8476b1
1418aba75a881
15c38e5c5156
hex6d8e5ac931

470539749681 has 27 divisors (see below), whose sum is σ = 685076294721. Its totient is φ = 311216854464.

The previous prime is 470539749643. The next prime is 470539749707. The reversal of 470539749681 is 186947935074.

The square root of 470539749681 is 685959.

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

470539749681 is a `hidden beast` number, since 4 + 7 + 0 + 53 + 97 + 496 + 8 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6893150625 + 463646599056 = 83025^2 + 680916^2 .

It is not a de Polignac number, because 470539749681 - 211 = 470539747633 is a prime.

It is a super-2 number, since 2×4705397496812 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (470539747681) 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, 281928315 + ... + 281929983.

Almost surely, 2470539749681 is an apocalyptic number.

470539749681 is the 685959-th square number.

470539749681 is the 342980-th centered octagonal number.

It is an amenable number.

470539749681 is a deficient number, since it is larger than the sum of its proper divisors (214536545040).

470539749681 is an frugal number, since it uses more digits than its factorization.

470539749681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 470539749681 in words is "four hundred seventy billion, five hundred thirty-nine million, seven hundred forty-nine thousand, six hundred eighty-one".

Divisors: 1 3 9 137 411 1233 1669 5007 15021 18769 56307 168921 228653 685959 2057877 2785561 8356683 25070049 31325461 93976383 281929149 381621857 1144865571 3434596713 52282194409 156846583227 470539749681