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20541530590 = 2572735571031
BaseRepresentation
bin10011001000010111…
…101110000111011110
31222000120111212120021
4103020113232013132
5314032112434330
613234152142354
71325016062200
oct231027560736
958016455507
1020541530590
118791181a69
123b933979ba
131c24941139
14dcc1ac770
1580358967a
hex4c85ee1de

20541530590 has 96 divisors (see below), whose sum is σ = 43721290944. Its totient is φ = 6927137280.

The previous prime is 20541530579. The next prime is 20541530701. The reversal of 20541530590 is 9503514502.

20541530590 = T16644 + T16645 + ... + T16790.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19923375 + ... + 19924405.

It is an arithmetic number, because the mean of its divisors is an integer number (455430114).

Almost surely, 220541530590 is an apocalyptic number.

20541530590 is an abundant number, since it is smaller than the sum of its proper divisors (23179760354).

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

20541530590 is a wasteful number, since it uses less digits than its factorization.

20541530590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1675 counting only the distinct ones).

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

It can be divided in two parts, 2054 and 1530590, that added together give a square (1532644 = 12382).

The spelling of 20541530590 in words is "twenty billion, five hundred forty-one million, five hundred thirty thousand, five hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 70 73 98 146 245 365 490 511 557 730 1022 1031 1114 2062 2555 2785 3577 3899 5110 5155 5570 7154 7217 7798 10310 14434 17885 19495 27293 35770 36085 38990 40661 50519 54586 72170 75263 81322 101038 136465 150526 203305 252595 272930 284627 376315 406610 505190 526841 569254 574267 752630 1053682 1148534 1423135 1992389 2634205 2846270 2871335 3687887 3984778 4019869 5268410 5742670 7375774 8039738 9961945 18439435 19923890 20099345 28139083 36878870 40198690 41921491 56278166 83842982 140695415 209607455 281390830 293450437 419214910 586900874 1467252185 2054153059 2934504370 4108306118 10270765295 20541530590