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20541530580 = 223516312291709
BaseRepresentation
bin10011001000010111…
…101110000111010100
31222000120111212112220
4103020113232013110
5314032112434310
613234152142340
71325016062154
oct231027560724
958016455486
1020541530580
118791181a5a
123b933979b0
131c2494112c
14dcc1ac764
15803589670
hex4c85ee1d4

20541530580 has 96 divisors (see below), whose sum is σ = 57950121600. Its totient is φ = 5436523008.

The previous prime is 20541530579. The next prime is 20541530701. The reversal of 20541530580 is 8503514502.

It is a super-3 number, since 3×205415305803 (a number of 32 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 31 ways as a sum of consecutive naturals, for example, 12018766 + ... + 12020474.

It is an arithmetic number, because the mean of its divisors is an integer number (603647100).

Almost surely, 220541530580 is an apocalyptic number.

20541530580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20541530580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28975060800).

20541530580 is an abundant number, since it is smaller than the sum of its proper divisors (37408591020).

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

20541530580 is a wasteful number, since it uses less digits than its factorization.

20541530580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 20541530580 in words is "twenty billion, five hundred forty-one million, five hundred thirty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1229 1630 1709 1956 2445 2458 3260 3418 3687 4890 4916 5127 6145 6836 7374 8545 9780 10254 12290 14748 17090 18435 20508 24580 25635 34180 36870 51270 73740 102540 200327 278567 400654 557134 600981 801308 835701 1001635 1114268 1201962 1392835 1671402 2003270 2100361 2403924 2785670 3004905 3342804 4006540 4178505 4200722 5571340 6009810 6301083 8357010 8401444 10501805 12019620 12602166 16714020 21003610 25204332 31505415 42007220 63010830 126021660 342358843 684717686 1027076529 1369435372 1711794215 2054153058 3423588430 4108306116 5135382645 6847176860 10270765290 20541530580