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525380330760660 = 22325712579008057
BaseRepresentation
bin111011101110101001010001…
…1111111001010100111010100
32112220012212110120120202120100
41313131102203333022213110
51022330312404133320120
65101220220400334100
7215443322240042604
oct16735224377124724
92486185416522510
10525380330760660
11142447602094061
124ab12289914330
13197201ca38044b
1493a4787c3ac04
1540b1534bbb490
hex1ddd4a3fca9d4

525380330760660 has 108 divisors (see below), whose sum is σ = 1616415637502484. Its totient is φ = 138128161839360.

The previous prime is 525380330760583. The next prime is 525380330760679. The reversal of 525380330760660 is 66067033083525.

It is a happy number.

525380330760660 is a `hidden beast` number, since 5 + 2 + 538 + 0 + 3 + 30 + 76 + 0 + 6 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 359658632350224 + 165721698410436 = 18964668^2 + 12873294^2 .

It is a junction number, because it is equal to n+sod(n) for n = 525380330760597 and 525380330760606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 288596649 + ... + 290411408.

Almost surely, 2525380330760660 is an apocalyptic number.

It is an amenable number.

525380330760660 is an abundant number, since it is smaller than the sum of its proper divisors (1091035306741824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

525380330760660 is a wasteful number, since it uses less digits than its factorization.

525380330760660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579008214 (or 579008138 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 525380330760660 in words is "five hundred twenty-five trillion, three hundred eighty billion, three hundred thirty million, seven hundred sixty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 5041 6390 10082 12780 15123 20164 25205 30246 45369 50410 60492 75615 90738 100820 151230 181476 226845 302460 453690 907380 579008057 1158016114 1737024171 2316032228 2895040285 3474048342 5211072513 5790080570 6948096684 8685120855 10422145026 11580161140 17370241710 20844290052 26055362565 34740483420 41109572047 52110725130 82219144094 104221450260 123328716141 164438288188 205547860235 246657432282 369986148423 411095720470 493314864564 616643580705 739972296846 822191440940 1233287161410 1479944593692 1849930742115 2466574322820 2918779615337 3699861484230 5837559230674 7399722968460 8756338846011 11675118461348 14593898076685 17512677692022 26269016538033 29187796153370 35025355384044 43781694230055 52538033076066 58375592306740 87563388460110 105076066152132 131345082690165 175126776920220 262690165380330 525380330760660