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13204412032050 = 23252411125763577
BaseRepresentation
bin1100000000100110010001…
…0010011110010000110010
31201202022220011210122221100
43000021210102132100302
53212320113440011200
644030004555505230
72531662432245531
oct300114422362062
951668804718840
1013204412032050
114230a61398978
12159312aa58216
1374a22b091035
14339150074318
1517d72511ed00
hexc026449e432

13204412032050 has 144 divisors (see below), whose sum is σ = 36344918354472. Its totient is φ = 3434934988800.

The previous prime is 13204412032039. The next prime is 13204412032051. The reversal of 13204412032050 is 5023021440231.

13204412032050 is a `hidden beast` number, since 1 + 320 + 4 + 4 + 12 + 0 + 320 + 5 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2598115225689 + 10606296806361 = 1611867^2 + 3256731^2 .

It is a super-2 number, since 2×132044120320502 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13204412032051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 207659862 + ... + 207723438.

Almost surely, 213204412032050 is an apocalyptic number.

13204412032050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13204412032050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18172459177236).

13204412032050 is an abundant number, since it is smaller than the sum of its proper divisors (23140506322422).

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

13204412032050 is a wasteful number, since it uses less digits than its factorization.

13204412032050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74893 (or 74885 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13204412032050 its reverse (5023021440231), we get a palindrome (18227433472281).

The spelling of 13204412032050 in words is "thirteen trillion, two hundred four billion, four hundred twelve million, thirty-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 1025 1230 1845 2050 3075 3690 6150 9225 11257 18450 22514 33771 56285 63577 67542 101313 112570 127154 168855 190731 202626 281425 317885 337710 381462 461537 506565 562850 572193 635770 844275 923074 953655 1013130 1144386 1384611 1589425 1688550 1907310 2307685 2532825 2606657 2769222 2860965 3178850 4153833 4615370 4768275 5065650 5213314 5721930 6923055 7819971 8307666 9536550 11538425 13033285 13846110 14304825 15639942 20769165 23076850 23459913 26066570 28609650 34615275 39099855 41538330 46919826 65166425 69230550 78199710 103845825 117299565 130332850 195499275 207691650 234599130 390998550 586497825 715686289 1172995650 1431372578 2147058867 3578431445 4294117734 6441176601 7156862890 10735294335 12882353202 17892157225 21470588670 29343137849 32205883005 35784314450 53676471675 58686275698 64411766010 88029413547 107352943350 146715689245 161029415025 176058827094 264088240641 293431378490 322058830050 440147067735 528176481282 733578446225 880294135470 1320441203205 1467156892450 2200735338675 2640882406410 4401470677350 6602206016025 13204412032050