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535021131143120 = 24542115885425509
BaseRepresentation
bin111100110100110010101000…
…0011110000001011111010000
32121011100112001112100211020012
41321221211100132001133100
51030111241234033034440
65133521151535134052
7220460000250145436
oct17151452036013720
92534315045324205
10535021131143120
11145524207615a26
125000a81a374328
1319c6c378a07b7b
14961923779cd56
1541cc1da0ece65
hex1e699507817d0

535021131143120 has 40 divisors (see below), whose sum is σ = 1246878819130920. Its totient is φ = 213500118827520.

The previous prime is 535021131143119. The next prime is 535021131143123. The reversal of 535021131143120 is 21341131120535.

It can be written as a sum of positive squares in 4 ways, for example, as 9943704516496 + 525077426626624 = 3153364^2 + 22914568^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×5350211311431202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535021131143123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7942679075 + ... + 7942746434.

It is an arithmetic number, because the mean of its divisors is an integer number (31171970478273).

Almost surely, 2535021131143120 is an apocalyptic number.

It is an amenable number.

535021131143120 is an abundant number, since it is smaller than the sum of its proper divisors (711857687987800).

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

535021131143120 is a wasteful number, since it uses less digits than its factorization.

535021131143120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15885425943 (or 15885425937 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

Adding to 535021131143120 its reverse (21341131120535), we get a palindrome (556362262263655).

The spelling of 535021131143120 in words is "five hundred thirty-five trillion, twenty-one billion, one hundred thirty-one million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 421 842 1684 2105 3368 4210 6736 8420 16840 33680 15885425509 31770851018 63541702036 79427127545 127083404072 158854255090 254166808144 317708510180 635417020360 1270834040720 6687764139289 13375528278578 26751056557156 33438820696445 53502113114312 66877641392890 107004226228624 133755282785780 267510565571560 535021131143120