Search a number
-
+
802029504721 = 4325923532
BaseRepresentation
bin10111010101111001010…
…11110000100011010001
32211200011211000021002011
423222330223300203101
5101120024023122341
61412240335422521
7111642016210264
oct13527453604321
92750154007064
10802029504721
1128a158823725
1210b532084a41
135a828584443
142ab65b00cdb
1515ce1581b81
hexbabcaf08d1

802029504721 has 27 divisors (see below), whose sum is σ = 837641109819. Its totient is φ = 767918481792.

The previous prime is 802029504719. The next prime is 802029504761. The reversal of 802029504721 is 127405920208.

The square root of 802029504721 is 895561.

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

It can be written as a sum of positive squares in only one way, i.e., 325841180625 + 476188324096 = 570825^2 + 690064^2 .

It is not a de Polignac number, because 802029504721 - 21 = 802029504719 is a prime.

It is a super-2 number, since 2×8020295047212 (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 (802029504761) 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, 2272038081 + ... + 2272038433.

Almost surely, 2802029504721 is an apocalyptic number.

802029504721 is the 895561-st square number.

802029504721 is the 447781-st centered octagonal number.

It is an amenable number.

802029504721 is a deficient number, since it is larger than the sum of its proper divisors (35611605098).

802029504721 is an frugal number, since it uses more digits than its factorization.

802029504721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 802029504721 in words is "eight hundred two billion, twenty-nine million, five hundred four thousand, seven hundred twenty-one".

Divisors: 1 43 59 353 1849 2537 3481 15179 20827 109091 124609 149683 652697 895561 1228793 5358187 6436369 7351931 38509123 52838099 230402041 316133033 433763929 2272038257 13593720419 18651848947 802029504721