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505132532512504 = 2313193173112962383
BaseRepresentation
bin111001011011010100101010…
…1001010100011011011111000
32110020112012100200222222111221
41302312221111022203123320
51012202042411310400004
64550154403142001424
7211253423023454551
oct16266512512433370
92406465320888457
10505132532512504
11136a5055a9095a6
12487a209b116274
13188b1a41203690
148ca478b783328
153d5e9ca482354
hex1cb6a552a36f8

505132532512504 has 128 divisors (see below), whose sum is σ = 1123478686310400. Its totient is φ = 210814915783680.

The previous prime is 505132532512493. The next prime is 505132532512507. The reversal of 505132532512504 is 405215235231505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505132532512507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52009504 + ... + 60952879.

It is an arithmetic number, because the mean of its divisors is an integer number (8777177236800).

Almost surely, 2505132532512504 is an apocalyptic number.

It is an amenable number.

505132532512504 is an abundant number, since it is smaller than the sum of its proper divisors (618346153797896).

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

505132532512504 is a wasteful number, since it uses less digits than its factorization.

505132532512504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112962525 (or 112962521 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 43.

The spelling of 505132532512504 in words is "five hundred five trillion, one hundred thirty-two billion, five hundred thirty-two million, five hundred twelve thousand, five hundred four".

Divisors: 1 2 4 8 13 19 26 31 38 52 62 73 76 104 124 146 152 247 248 292 403 494 584 589 806 949 988 1178 1387 1612 1898 1976 2263 2356 2774 3224 3796 4526 4712 5548 7592 7657 9052 11096 15314 18031 18104 29419 30628 36062 42997 58838 61256 72124 85994 117676 144248 171988 235352 343976 558961 1117922 2235844 4471688 112962383 225924766 451849532 903699064 1468510979 2146285277 2937021958 3501833873 4292570554 5874043916 7003667746 8246253959 8585141108 11748087832 14007335492 16492507918 17170282216 27901708601 28014670984 32985015836 45523840349 55803417202 65970031672 66534843587 91047680698 107201301467 111606834404 133069687174 156678825221 182095361396 214402602934 223213668808 255633872729 266139374348 313357650442 364190722792 428805205868 511267745458 532278748696 626715300884 857610411736 864952966631 1022535490916 1253430601768 1729905933262 2036824727873 2045070981832 3323240345477 3459811866524 4073649455746 4857043581851 6646480690954 6919623733048 8147298911492 9714087163702 13292961381908 16294597822984 19428174327404 26585922763816 38856348654808 63141566564063 126283133128126 252566266256252 505132532512504