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5271198136281 = 347211233132
BaseRepresentation
bin100110010110100101111…
…1001000111011111011001
3200122220212212020212210000
41030231023321013133121
51142330403210330111
615113315513443213
71052555126612400
oct114551371073731
920586785225700
105271198136281
111752558a23300
12711715710509
132c30c1b1bb5c
141431ad646637
15921b1574c56
hex4cb4be477d9

5271198136281 has 135 divisors (see below), whose sum is σ = 10071307275183. Its totient is φ = 2737458218880.

The previous prime is 5271198136213. The next prime is 5271198136307. The reversal of 5271198136281 is 1826318911725.

The square root of 5271198136281 is 2295909.

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

5271198136281 is a `hidden beast` number, since 5 + 2 + 7 + 1 + 1 + 9 + 8 + 1 + 3 + 628 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4871753912025 + 399444224256 = 2207205^2 + 632016^2 .

It is not a de Polignac number, because 5271198136281 - 211 = 5271198134233 is a prime.

It is a super-2 number, since 2×52711981362812 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5271198136201) 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, 1591063281 + ... + 1591066593.

Almost surely, 25271198136281 is an apocalyptic number.

5271198136281 is the 2295909-th square number.

5271198136281 is the 1147955-th centered octagonal number.

It is an amenable number.

5271198136281 is a deficient number, since it is larger than the sum of its proper divisors (4800109138902).

5271198136281 is an frugal number, since it uses more digits than its factorization.

5271198136281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6674 (or 3334 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 5271198136281 in words is "five trillion, two hundred seventy-one billion, one hundred ninety-eight million, one hundred thirty-six thousand, two hundred eighty-one".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 121 147 189 231 297 363 441 539 567 693 847 891 1089 1323 1617 2079 2541 3267 3313 3969 4851 5929 6237 7623 9801 9939 14553 17787 22869 23191 29817 36443 43659 53361 68607 69573 89451 109329 160083 162337 208719 255101 268353 327987 400873 480249 487011 626157 765303 983961 1202619 1461033 1785707 1878471 2295909 2806111 2951883 3607857 4383099 5357121 6887727 8418333 10823571 10975969 13149297 16071363 19642777 20663181 25254999 32470713 32927907 48214089 58928331 75764997 76831783 98783721 120735659 144642267 176784993 227294991 230495349 296351163 362206977 530354979 537822481 691486047 845149613 889053489 1086620931 1328092249 1591064937 1613467443 2074458141 2535448839 3259862793 3984276747 4840402329 5916047291 6223374423 7606346517 9296645743 9779588379 11952830241 14521206987 17748141873 22819039551 27889937229 35858490723 43563620961 53244425619 65076520201 68457118653 83669811687 107575472169 159733276857 195229560603 251009435061 479199830571 585688681809 753028305183 1757066045427 5271198136281