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536641125064 = 2311137314513061
BaseRepresentation
bin1111100111100100100…
…11011011101011001000
31220022011102221201112121
413303302103123223020
532243020112000224
61050310213421024
753525316205012
oct7636223335310
91808142851477
10536641125064
11197651a1a040
128800803a774
133b7b3376175
141bd8b68b1b2
15de5c7d7be4
hex7cf24dbac8

536641125064 has 64 divisors (see below), whose sum is σ = 1099590655680. Its totient is φ = 243502560000.

The previous prime is 536641125047. The next prime is 536641125071. The reversal of 536641125064 is 460521146635.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 536641125064.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175314094 + ... + 175317154.

It is an arithmetic number, because the mean of its divisors is an integer number (17181103995).

Almost surely, 2536641125064 is an apocalyptic number.

It is an amenable number.

536641125064 is an abundant number, since it is smaller than the sum of its proper divisors (562949530616).

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

536641125064 is a wasteful number, since it uses less digits than its factorization.

536641125064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5902 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 536641125064 in words is "five hundred thirty-six billion, six hundred forty-one million, one hundred twenty-five thousand, sixty-four".

Divisors: 1 2 4 8 11 22 44 88 1373 1451 2746 2902 3061 5492 5804 6122 10984 11608 12244 15103 15961 24488 30206 31922 33671 60412 63844 67342 120824 127688 134684 269368 1992223 3984446 4202753 4441511 7968892 8405506 8883022 15937784 16811012 17766044 21914453 33622024 35532088 43828906 46230283 48856621 87657812 92460566 97713242 175315624 184921132 195426484 369842264 390852968 6098194603 12196389206 24392778412 48785556824 67080140633 134160281266 268320562532 536641125064