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20504024541 = 32711132296037
BaseRepresentation
bin10011000110001000…
…101001010111011101
31221220221221100221100
4103012020221113131
5313443012241131
613230332223313
71324052222130
oct230610512735
957827840840
1020504024541
118771a95130
123b8290ab39
131c19c3b800
14dc7208217
1580012b7e6
hex4c62295dd

20504024541 has 144 divisors (see below), whose sum is σ = 41369477760. Its totient is φ = 9491489280.

The previous prime is 20504024531. The next prime is 20504024543. The reversal of 20504024541 is 14542040502.

20504024541 is a `hidden beast` number, since 205 + 0 + 4 + 0 + 2 + 454 + 1 = 666.

It is not a de Polignac number, because 20504024541 - 210 = 20504023517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20504024543) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 3393375 + ... + 3399411.

It is an arithmetic number, because the mean of its divisors is an integer number (287288040).

Almost surely, 220504024541 is an apocalyptic number.

20504024541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20504024541 is an abundant number, since it is smaller than the sum of its proper divisors (20865453219).

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

20504024541 is a wasteful number, since it uses less digits than its factorization.

20504024541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6116 (or 6100 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 20504024541 in words is "twenty billion, five hundred four million, twenty-four thousand, five hundred forty-one".

Divisors: 1 3 7 9 11 13 21 29 33 39 63 77 87 91 99 117 143 169 203 231 261 273 319 377 429 507 609 693 819 957 1001 1131 1183 1287 1521 1827 1859 2233 2639 2871 3003 3393 3549 4147 4901 5577 6037 6699 7917 9009 10647 12441 13013 14703 16731 18111 20097 23751 29029 34307 37323 39039 42259 44109 53911 54333 66407 78481 87087 102921 117117 126777 161733 175073 199221 235443 261261 308763 377377 380331 464849 485199 525219 549367 597663 706329 863291 1020253 1132131 1225511 1394547 1575657 1648101 1925803 2275949 2589873 3060759 3396393 3676533 4183641 4944303 5777409 6043037 6827847 7141771 7769619 9182277 11029599 11222783 13480621 15931643 17332227 18129111 20483541 21425313 25035439 29587337 33668349 40441863 47794929 54387333 64275939 75106317 78559481 88762011 101005047 121325589 143384787 175248073 207111359 225318951 235678443 266286033 325460707 525744219 621334077 707035329 976382121 1577232657 1864002231 2278224949 2929146363 6834674847 20504024541