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505213130520 = 233257200481401
BaseRepresentation
bin1110101101000010000…
…11001001011100011000
31210022001011122011220200
413112201003021130120
531234134030134040
61024031450422200
751333436516530
oct7264103113430
91708034564820
10505213130520
1118529470662a
1281ab6a31960
13388451b03a7
141a6497244c0
15d21d639630
hex75a10c9718

505213130520 has 96 divisors (see below), whose sum is σ = 1876505922720. Its totient is φ = 115477286400.

The previous prime is 505213130519. The next prime is 505213130593. The reversal of 505213130520 is 25031312505.

It is a happy number.

505213130520 is a `hidden beast` number, since 5 + 0 + 5 + 2 + 1 + 3 + 130 + 520 = 666.

It is a super-3 number, since 3×5052131305203 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100238181 + ... + 100243220.

It is an arithmetic number, because the mean of its divisors is an integer number (19546936695).

Almost surely, 2505213130520 is an apocalyptic number.

It is an amenable number.

505213130520 is an abundant number, since it is smaller than the sum of its proper divisors (1371292792200).

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

505213130520 is a wasteful number, since it uses less digits than its factorization.

505213130520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200481425 (or 200481418 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 505213130520 in words is "five hundred five billion, two hundred thirteen million, one hundred thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 200481401 400962802 601444203 801925604 1002407005 1202888406 1403369807 1603851208 1804332609 2004814010 2405776812 2806739614 3007221015 3608665218 4009628020 4210109421 4811553624 5613479228 6014442030 7016849035 7217330436 8019256040 8420218842 9021663045 11226958456 12028884060 12630328263 14033698070 14434660872 16840437684 18043326090 21050547105 24057768120 25260656526 28067396140 33680875368 36086652180 42101094210 50521313052 56134792280 63151641315 72173304360 84202188420 101042626104 126303282630 168404376840 252606565260 505213130520