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480820003023525 = 352116722937985539
BaseRepresentation
bin110110101010011011010000…
…1011110110010101010100101
32100001102221110201110202111120
41231110312201132302222211
51001010223331233223100
64422341354322124153
7203164045622543604
oct15524664136625245
92301387421422446
10480820003023525
1112a227688834130
1245b1617a1b0659
131783a193552519
1486a3b52dd5a3b
153a8c371ec10a0
hex1b54da17b2aa5

480820003023525 has 96 divisors (see below), whose sum is σ = 884011642252800. Its totient is φ = 228642550329600.

The previous prime is 480820003023517. The next prime is 480820003023587. The reversal of 480820003023525 is 525320300028084.

It is not a de Polignac number, because 480820003023525 - 23 = 480820003023517 is a prime.

It is a super-3 number, since 3×4808200030235253 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6334795 + ... + 31650744.

It is an arithmetic number, because the mean of its divisors is an integer number (9208454606800).

Almost surely, 2480820003023525 is an apocalyptic number.

It is an amenable number.

480820003023525 is a deficient number, since it is larger than the sum of its proper divisors (403191639229275).

480820003023525 is a wasteful number, since it uses less digits than its factorization.

480820003023525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37985859 (or 37985854 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 480820003023525 in words is "four hundred eighty trillion, eight hundred twenty billion, three million, twenty-three thousand, five hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 67 75 165 201 229 275 335 687 737 825 1005 1145 1675 2211 2519 3435 3685 5025 5725 7557 11055 12595 15343 17175 18425 37785 46029 55275 62975 76715 168773 188925 230145 383575 506319 843865 1150725 2531595 4219325 12657975 37985539 113956617 189927695 417840929 569783085 949638475 1253522787 2089204645 2545031113 2848915425 6267613935 7635093339 8698688431 10446023225 12725155565 26096065293 27995342243 31338069675 38175466695 43493442155 63625777825 83986026729 95685572741 130480326465 139976711215 190877333475 217467210775 287056718223 419930133645 478427863705 582812124877 652401632325 699883556075 1435283591115 1748436374631 2099650668225 2392139318525 2914060624385 6410933373647 7176417955575 8742181873155 14570303121925 19232800120941 32054666868235 43710909365775 96164000604705 160273334341175 480820003023525