Search a number
-
+
470413541689 = 7213275372
BaseRepresentation
bin1101101100001101101…
…01010000000100111001
31122222012221001220102021
412312012311100010321
530201401331313224
61000034402434441
745662200062400
oct6660665200471
91588187056367
10470413541689
111715571a9463
1277204662a21
133548a658c00
1418aa7aa6637
15c3834951e4
hex6d86d50139

470413541689 has 27 divisors (see below), whose sum is σ = 592625863917. Its totient is φ = 372145947264.

The previous prime is 470413541681. The next prime is 470413541699. The reversal of 470413541689 is 986145314074.

The square root of 470413541689 is 685867.

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 92852450089 + 377561091600 = 304717^2 + 614460^2 .

It is not a de Polignac number, because 470413541689 - 23 = 470413541681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (470413541681) 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, 62410129 + ... + 62417665.

It is an arithmetic number, because the mean of its divisors is an integer number (21949106071).

Almost surely, 2470413541689 is an apocalyptic number.

470413541689 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

470413541689 is the 685867-th square number.

470413541689 is the 342934-th centered octagonal number.

It is an amenable number.

470413541689 is a deficient number, since it is larger than the sum of its proper divisors (122212322228).

470413541689 is an frugal number, since it uses more digits than its factorization.

470413541689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15114 (or 7557 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 470413541689 in words is "four hundred seventy billion, four hundred thirteen million, five hundred forty-one thousand, six hundred eighty-nine".

Divisors: 1 7 13 49 91 169 637 1183 7537 8281 52759 97981 369313 685867 1273753 4801069 8916271 56806369 62413897 397644583 738482797 2783512081 5169379579 9600276361 36185657053 67201934527 470413541689