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52516801540 = 225721719316333
BaseRepresentation
bin110000111010001111…
…101100110000000100
312000112222121221021201
4300322033230300010
51330023300122130
640043105152244
73536262306400
oct607217546004
9160488557251
1052516801540
11202aa402325
12a21792b684
134c4c3027c8
142782ab6100
1515757ddbca
hexc3a3ecc04

52516801540 has 144 divisors (see below), whose sum is σ = 136549757232. Its totient is φ = 16857759744.

The previous prime is 52516801537. The next prime is 52516801543. The reversal of 52516801540 is 4510861525.

It is an interprime number because it is at equal distance from previous prime (52516801537) and next prime (52516801543).

It can be written as a sum of positive squares in 8 ways, for example, as 4964893444 + 47551908096 = 70462^2 + 218064^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 52516801540.

It is not an unprimeable number, because it can be changed into a prime (52516801543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3207214 + ... + 3223546.

It is an arithmetic number, because the mean of its divisors is an integer number (948262203).

Almost surely, 252516801540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52516801540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68274878616).

52516801540 is an abundant number, since it is smaller than the sum of its proper divisors (84032955692).

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

52516801540 is a wasteful number, since it uses less digits than its factorization.

52516801540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16566 (or 16557 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The spelling of 52516801540 in words is "fifty-two billion, five hundred sixteen million, eight hundred one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 193 196 238 245 340 386 476 490 595 772 833 965 980 1190 1351 1666 1930 2380 2702 3281 3332 3860 4165 5404 6562 6755 8330 9457 13124 13510 16333 16405 16660 18914 22967 27020 32666 32810 37828 45934 47285 65332 65620 81665 91868 94570 114331 114835 160769 163330 189140 228662 229670 277661 321538 326660 457324 459340 555322 571655 643076 800317 803845 1110644 1143310 1388305 1600634 1607690 1943627 2286620 2776610 3152269 3201268 3215380 3887254 4001585 5553220 6304538 7774508 8003170 9718135 12609076 13605389 15761345 16006340 19436270 22065883 27210778 31522690 38872540 44131766 53588573 54421556 63045380 68026945 88263532 107177146 110329415 136053890 154461181 214354292 220658830 267942865 272107780 308922362 375120011 441317660 535885730 617844724 750240022 772305905 1071771460 1500480044 1544611810 1875600055 2625840077 3089223620 3751200110 5251680154 7502400220 10503360308 13129200385 26258400770 52516801540