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505121330131540 = 225613071381976571
BaseRepresentation
bin111001011011001111011100…
…1011100110111001001010100
32110020111010102222202001210021
41302312132321130313021110
51012201401441003202130
64550145311404034524
7211252545306010003
oct16266367134671124
92406433388661707
10505121330131540
11136a46831411a11
124879ba93532a44
13188b097739a0a5
148ca4007a70c3a
153d5e571c6837a
hex1cb67b9737254

505121330131540 has 96 divisors (see below), whose sum is σ = 1082440436128128. Its totient is φ = 197945270208000.

The previous prime is 505121330131427. The next prime is 505121330131571. The reversal of 505121330131540 is 45131033121505.

It is a junction number, because it is equal to n+sod(n) for n = 505121330131496 and 505121330131505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516751455 + ... + 517728025.

It is an arithmetic number, because the mean of its divisors is an integer number (11275421209668).

Almost surely, 2505121330131540 is an apocalyptic number.

It is an amenable number.

505121330131540 is an abundant number, since it is smaller than the sum of its proper divisors (577319105996588).

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

505121330131540 is a wasteful number, since it uses less digits than its factorization.

505121330131540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978329 (or 978327 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 505121330131540 in words is "five hundred five trillion, one hundred twenty-one billion, three hundred thirty million, one hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 307 610 614 1220 1228 1381 1535 2762 3070 5524 6140 6905 13810 18727 27620 37454 74908 84241 93635 168482 187270 336964 374540 421205 423967 842410 847934 976571 1684820 1695868 1953142 2119835 3906284 4239670 4882855 8479340 9765710 19531420 25861987 51723974 59570831 103447948 119141662 129309935 238283324 258619870 297854155 299807297 517239740 595708310 599614594 1191416620 1199229188 1348644551 1499036485 2697289102 2998072970 5394578204 5996145940 6743222755 13486445510 18288245117 26972891020 36576490234 73152980468 82267317611 91441225585 164534635222 182882451170 329069270444 365764902340 411336588055 414033877157 822673176110 828067754314 1645346352220 1656135508628 2070169385785 4140338771570 8280677543140 25256066506577 50512133013154 101024266026308 126280332532885 252560665065770 505121330131540