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1534068030625 = 541323721032
BaseRepresentation
bin10110010100101101100…
…101000111110010100001
312102122200211122102000121
4112110231211013302201
5200113232403440000
63132424025520241
7215555431053004
oct26245545076241
95378624572017
101534068030625
1154165a456aa9
12209390343081
13b187b52c400
145436c09753b
1529d881d5b1a
hex1652d947ca1

1534068030625 has 135 divisors (see below), whose sum is σ = 2154305677293. Its totient is φ = 1091531376000.

The previous prime is 1534068030611. The next prime is 1534068030637. The reversal of 1534068030625 is 5260308604351.

The square root of 1534068030625 is 1238575.

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

It can be written as a sum of positive squares in 22 ways, for example, as 1461465805921 + 72602224704 = 1208911^2 + 269448^2 .

It is not a de Polignac number, because 1534068030625 - 27 = 1534068030497 is a prime.

It is a Duffinian number.

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, 14893864324 + ... + 14893864426.

Almost surely, 21534068030625 is an apocalyptic number.

1534068030625 is the 1238575-th square number.

1534068030625 is the 619288-th centered octagonal number.

It is an amenable number.

1534068030625 is a deficient number, since it is larger than the sum of its proper divisors (620237646668).

1534068030625 is an frugal number, since it uses more digits than its factorization.

1534068030625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 1534068030625 in words is "one trillion, five hundred thirty-four billion, sixty-eight million, thirty thousand, six hundred twenty-five".

Divisors: 1 5 13 25 37 65 103 125 169 185 325 481 515 625 845 925 1339 1369 1625 2405 2575 3811 4225 4625 6253 6695 6845 8125 10609 12025 12875 17407 17797 19055 21125 23125 31265 33475 34225 49543 53045 60125 64375 87035 88985 95275 105625 137917 141007 156325 167375 171125 231361 247715 265225 300625 392533 435175 444925 476375 644059 689585 705035 781625 836875 855625 1156805 1238575 1326125 1792921 1833091 1962665 2175875 2224625 2381875 3220295 3447925 3525175 3908125 5102929 5784025 6192875 6630625 8964605 9165455 9813325 10879375 11123125 14523721 16101475 17239625 17625875 23830183 25514645 28920125 30964375 44823025 45827275 49066625 66338077 72618605 80507375 86198125 88129375 119150915 127573225 144600625 188808373 224115125 229136375 245333125 331690385 363093025 402536875 595754575 637866125 944041865 1120575625 1145681875 1658451925 1815465125 2454508849 2978772875 3189330625 4720209325 8292259625 9077325625 12272544245 14893864375 23601046625 41461298125 61362721225 118005233125 306813606125 1534068030625