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71300561420520 = 23325359355123049
BaseRepresentation
bin10000001101100011110100…
…101000101100000011101000
3100100110021012201101100012100
4100031203310220230003220
533321142022210424040
6411351005320213400
721006203244223065
oct2015436450540350
9310407181340170
1071300561420520
112079a442135913
127bb663990a260
1330a27ca20c923
141386d737d3c6c
15839a57d67b30
hex40d8f4a2c0e8

71300561420520 has 96 divisors (see below), whose sum is σ = 231791322789000. Its totient is φ = 19008190887936.

The previous prime is 71300561420483. The next prime is 71300561420531. The reversal of 71300561420520 is 2502416500317.

71300561420520 is a `hidden beast` number, since 7 + 1 + 3 + 0 + 0 + 561 + 42 + 0 + 52 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33425719124004 + 37874842296516 = 5781498^2 + 6154254^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26268045 + ... + 28855004.

Almost surely, 271300561420520 is an apocalyptic number.

It is an amenable number.

71300561420520 is an abundant number, since it is smaller than the sum of its proper divisors (160490761368480).

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

71300561420520 is a wasteful number, since it uses less digits than its factorization.

71300561420520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55126659 (or 55126652 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 71300561420520 its reverse (2502416500317), we get a palindrome (73802977920837).

The spelling of 71300561420520 in words is "seventy-one trillion, three hundred billion, five hundred sixty-one million, four hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3593 7186 10779 14372 17965 21558 28744 32337 35930 43116 53895 64674 71860 86232 107790 129348 143720 161685 215580 258696 323370 431160 646740 1293480 55123049 110246098 165369147 220492196 275615245 330738294 440984392 496107441 551230490 661476588 826845735 992214882 1102460980 1322953176 1653691470 1984429764 2204921960 2480537205 3307382940 3968859528 4961074410 6614765880 9922148820 19844297640 198057115057 396114230114 594171345171 792228460228 990285575285 1188342690342 1584456920456 1782514035513 1980571150570 2376685380684 2970856725855 3565028071026 3961142301140 4753370761368 5941713451710 7130056142052 7922284602280 8912570177565 11883426903420 14260112284104 17825140355130 23766853806840 35650280710260 71300561420520