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802473764481 = 3241272832
BaseRepresentation
bin10111010110101110010…
…10011110011010000001
32211201022202221222220100
423223113022132122001
5101121431240430411
61412352405433013
7111656022311244
oct13532712363201
92751282858810
10802473764481
1128a366579654
1210b636a0b769
135a89962143c
142aba8b0725b
1515d1a589456
hexbad729e681

802473764481 has 27 divisors (see below), whose sum is σ = 1188252905827. Its totient is φ = 521862491040.

The previous prime is 802473764473. The next prime is 802473764483. The reversal of 802473764481 is 184467374208.

The square root of 802473764481 is 895809.

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

802473764481 is a `hidden beast` number, since 8 + 0 + 24 + 73 + 76 + 4 + 481 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38667682881 + 763806081600 = 196641^2 + 873960^2 .

It is not a de Polignac number, because 802473764481 - 23 = 802473764473 is a prime.

It is a super-2 number, since 2×8024737644812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (802473764483) 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, 110180866 + ... + 110188148.

Almost surely, 2802473764481 is an apocalyptic number.

802473764481 is the 895809-th square number.

802473764481 is the 447905-th centered octagonal number.

It is an amenable number.

802473764481 is a deficient number, since it is larger than the sum of its proper divisors (385779141346).

802473764481 is an frugal number, since it uses more digits than its factorization.

802473764481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14654 (or 7327 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 802473764481 in words is "eight hundred two billion, four hundred seventy-three million, seven hundred sixty-four thousand, four hundred eighty-one".

Divisors: 1 3 9 41 123 369 1681 5043 7283 15129 21849 65547 298603 895809 2687427 12242723 36728169 53042089 110184507 159126267 477378801 2174725649 6524176947 19572530841 89163751609 267491254827 802473764481