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71352446000 = 2453113243293
BaseRepresentation
bin100001001110011101…
…1111110110000110000
320211011200012211000012
41002130323332300300
52132112211233000
652440122314052
75104115532623
oct1023473766060
9224150184005
1071352446000
1128295660840
12119b3958928
1369616b6164
14364c4a9dba
151cc9210735
hex109cefec30

71352446000 has 80 divisors (see below), whose sum is σ = 188214837408. Its totient is φ = 25946336000.

The previous prime is 71352445999. The next prime is 71352446021. The reversal of 71352446000 is 64425317.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×713524460003 (a number of 34 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1599647 + ... + 1643646.

Almost surely, 271352446000 is an apocalyptic number.

It is an amenable number.

71352446000 is an abundant number, since it is smaller than the sum of its proper divisors (116862391408).

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

71352446000 is a wasteful number, since it uses less digits than its factorization.

71352446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243327 (or 3243311 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 71352446000 in words is "seventy-one billion, three hundred fifty-two million, four hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 3243293 6486586 12973172 16216465 25946344 32432930 35676223 51892688 64865860 71352446 81082325 129731720 142704892 162164650 178381115 259463440 285409784 324329300 356762230 405411625 570819568 648658600 713524460 810823250 891905575 1297317200 1427048920 1621646500 1783811150 2854097840 3243293000 3567622300 4459527875 6486586000 7135244600 8919055750 14270489200 17838111500 35676223000 71352446000