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20625122024 = 23131734733619
BaseRepresentation
bin10011001101010110…
…100110001011101000
31222020101210202110022
4103031112212023220
5314220012401044
613250335540012
71330052434043
oct231526461350
958211722408
1020625122024
1188243864a1
123bb738a608
131c3905b120
14dd932bc5a
1580aa9c3ee
hex4cd5a62e8

20625122024 has 64 divisors (see below), whose sum is σ = 44225092800. Its totient is φ = 8933243904.

The previous prime is 20625121999. The next prime is 20625122039. The reversal of 20625122024 is 42022152602.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 20625121984 and 20625122002.

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 15 ways as a sum of consecutive naturals, for example, 596687 + ... + 630305.

It is an arithmetic number, because the mean of its divisors is an integer number (691017075).

Almost surely, 220625122024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20625122024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22112546400).

20625122024 is an abundant number, since it is smaller than the sum of its proper divisors (23599970776).

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

20625122024 is a wasteful number, since it uses less digits than its factorization.

20625122024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34002 (or 33998 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 20625122024 its reverse (42022152602), we get a palindrome (62647274626).

The spelling of 20625122024 in words is "twenty billion, six hundred twenty-five million, one hundred twenty-two thousand, twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 347 442 694 884 1388 1768 2776 4511 5899 9022 11798 18044 23596 33619 36088 47192 67238 76687 134476 153374 268952 306748 437047 571523 613496 874094 1143046 1748188 2286092 3496376 4572184 7429799 11665793 14859598 23331586 29719196 46663172 59438392 93326344 151655309 198318481 303310618 396636962 606621236 793273924 1213242472 1586547848 2578140253 5156280506 10312561012 20625122024