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20541557001 = 3721931673541
BaseRepresentation
bin10011001000010111…
…110100100100001001
31222000120120012210110
4103020113310210021
5314032114311001
613234152504533
71325016232200
oct231027644411
958016505713
1020541557001
11879119a899
123b933ab149
131c24950174
14dcc1b8237
158035923d6
hex4c85f4909

20541557001 has 96 divisors (see below), whose sum is σ = 35145707520. Its totient is φ = 10597910400.

The previous prime is 20541556999. The next prime is 20541557009. The reversal of 20541557001 is 10075514502.

It is not a de Polignac number, because 20541557001 - 21 = 20541556999 is a prime.

It is a super-2 number, since 2×205415570012 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20541557001.

It is not an unprimeable number, because it can be changed into a prime (20541557009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5799291 + ... + 5802831.

It is an arithmetic number, because the mean of its divisors is an integer number (366101120).

Almost surely, 220541557001 is an apocalyptic number.

20541557001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20541557001 is a deficient number, since it is larger than the sum of its proper divisors (14604150519).

20541557001 is a wasteful number, since it uses less digits than its factorization.

20541557001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The spelling of 20541557001 in words is "twenty billion, five hundred forty-one million, five hundred fifty-seven thousand, one".

Divisors: 1 3 7 19 21 31 49 57 67 93 133 147 201 217 399 469 589 651 931 1273 1407 1519 1767 2077 2793 3283 3541 3819 4123 4557 6231 8911 9849 10623 12369 14539 24787 26733 28861 39463 43617 62377 67279 74361 86583 101773 109771 118389 173509 187131 201837 237247 276241 305319 329313 470953 520527 711741 768397 828723 1412859 1660729 1933687 2085649 2305191 3296671 4507693 4982187 5378779 5801061 6256947 7354657 9890013 11625103 13523079 14599543 16136337 22063971 31553851 34875309 43798629 51482599 94661553 102196801 139738483 154447797 220876957 306590403 360378193 419215449 662630871 978169381 1081134579 2934508143 6847185667 20541557001