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728726859025 = 52114172832
BaseRepresentation
bin10101001101010111000…
…00010110110100010001
32120122222020011001000121
422212223200112310101
543414413033442100
61314434505350241
7103435350046054
oct12465340266421
92518866131017
10728726859025
11261062350000
12b9295198381
1353945b3c489
14273b0620a9b
1513e5104951a
hexa9ab816d11

728726859025 has 135 divisors (see below), whose sum is σ = 1068760670305. Its totient is φ = 492797958400.

The previous prime is 728726859013. The next prime is 728726859043. The reversal of 728726859025 is 520958627827.

The square root of 728726859025 is 853655.

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 17045652481 + 711681206544 = 130559^2 + 843612^2 .

It is not a de Polignac number, because 728726859025 - 213 = 728726850833 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8779841634 + ... + 8779841716.

Almost surely, 2728726859025 is an apocalyptic number.

728726859025 is the 853655-th square number.

728726859025 is the 426828-th centered octagonal number.

It is an amenable number.

728726859025 is a deficient number, since it is larger than the sum of its proper divisors (340033811280).

728726859025 is an frugal number, since it uses more digits than its factorization.

728726859025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 61.

The spelling of 728726859025 in words is "seven hundred twenty-eight billion, seven hundred twenty-six million, eight hundred fifty-nine thousand, twenty-five".

Divisors: 1 5 11 17 25 55 83 85 121 187 275 289 415 425 605 913 935 1331 1411 1445 2057 2075 3025 3179 4565 4675 6655 6889 7055 7225 10043 10285 14641 15521 15895 22627 22825 23987 33275 34445 34969 35275 50215 51425 73205 75779 77605 79475 110473 113135 117113 119935 170731 172225 174845 248897 251075 263857 366025 378895 384659 388025 552365 565675 585565 599675 833569 853655 874225 1215203 1244485 1288243 1319285 1878041 1894475 1923295 1990921 2761825 2902427 2927825 4167845 4231249 4268275 6076015 6222425 6441215 6596425 9169259 9390205 9616475 9954605 14170673 14512135 20658451 20839225 21156245 21900131 30380075 31926697 32206075 45846295 46951025 49773025 70853365 72560675 100861849 103292255 105781225 109500655 155877403 159633485 229231475 240901441 351193667 354266825 504309245 516461275 547503275 779387015 798167425 1204507205 1714651433 1755968335 2521546225 2649915851 3896935075 6022536025 8573257165 8779841675 13249579255 29149074361 42866285825 66247896275 145745371805 728726859025