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60244530210225 = 3452137212592
BaseRepresentation
bin11011011001010110001011…
…10100101010010110110001
321220022022122220010021010000
431230223011310222112301
530344021244213211400
6332043542145300213
715455344422426264
oct1554530564522661
9256268586107100
1060244530210225
111821761a806339
12690b963334669
13278005b67328a
1410c3bca916cdb
156e71725b8600
hex36cac5d2a5b1

60244530210225 has 135 divisors (see below), whose sum is σ = 112503552775537. Its totient is φ = 31870553224320.

The previous prime is 60244530210211. The next prime is 60244530210229. The reversal of 60244530210225 is 52201203544206.

The square root of 60244530210225 is 7761735.

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

60244530210225 is a `hidden beast` number, since 6 + 0 + 244 + 5 + 302 + 102 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 175768047009 + 60068762163216 = 419247^2 + 7750404^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 60244530210225 - 221 = 60244528113073 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 60244530210225.

It is not an unprimeable number, because it can be changed into a prime (60244530210229) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 47851095646 + ... + 47851096904.

Almost surely, 260244530210225 is an apocalyptic number.

60244530210225 is the 7761735-th square number.

60244530210225 is the 3880868-th centered octagonal number.

It is an amenable number.

60244530210225 is a deficient number, since it is larger than the sum of its proper divisors (52259022565312).

60244530210225 is an frugal number, since it uses more digits than its factorization.

60244530210225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 60244530210225 in words is "sixty trillion, two hundred forty-four billion, five hundred thirty million, two hundred ten thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 137 225 405 411 675 685 1233 1259 2025 2055 3425 3699 3777 6165 6295 10275 11097 11331 18495 18769 18885 30825 31475 33993 55485 56307 56655 92475 93845 94425 101979 168921 169965 172483 277425 281535 283275 469225 506763 509895 517449 844605 849825 862415 1407675 1520289 1552347 1585081 2533815 2549475 2587245 4223025 4312075 4657041 4755243 7601445 7761735 7925405 12669075 12936225 13971123 14265729 23285205 23630171 23776215 38007225 38808675 39627025 42797187 69855615 70890513 71328645 116426025 118150855 118881075 128391561 212671539 213985935 217156097 349278075 354452565 356643225 590754275 638014617 641957805 651468291 1063357695 1069929675 1085780485 1772262825 1914043851 1954404873 3190073085 3209789025 3257341455 5316788475 5428902425 5863214619 9570219255 9772024365 15950365425 16286707275 17589643857 29316073095 29750385289 47851096275 48860121825 87948219285 89251155867 146580365475 148751926445 267753467601 439741096425 446255779335 743759632225 803260402803 1338767338005 2231278896675 2409781208409 4016302014015 6693836690025 12048906042045 20081510070075 60244530210225