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20525300736 = 210364310391
BaseRepresentation
bin10011000111011001…
…110011110000000000
31221222102222022101120
4103013121303300000
5314013434110421
613232412232240
71324431114633
oct230731636000
957872868346
1020525300736
118782aa7266
123b89a6b680
131c2147aa85
14dc9d85c1a
15801e308c6
hex4c7673c00

20525300736 has 88 divisors (see below), whose sum is σ = 54797764224. Its totient is φ = 6830469120.

The previous prime is 20525300723. The next prime is 20525300737. The reversal of 20525300736 is 63700352502.

It is a junction number, because it is equal to n+sod(n) for n = 20525300697 and 20525300706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20525300737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1970101 + ... + 1980491.

Almost surely, 220525300736 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 20525300736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27398882112).

20525300736 is an abundant number, since it is smaller than the sum of its proper divisors (34272463488).

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

20525300736 is a wasteful number, since it uses less digits than its factorization.

20525300736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11057 (or 11039 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

It can be divided in two parts, 205 and 25300736, that added together give a triangular number (25300941 = T7113).

The spelling of 20525300736 in words is "twenty billion, five hundred twenty-five million, three hundred thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 643 768 1024 1286 1536 1929 2572 3072 3858 5144 7716 10288 10391 15432 20576 20782 30864 31173 41152 41564 61728 62346 82304 83128 123456 124692 164608 166256 246912 249384 329216 332512 493824 498768 658432 665024 987648 997536 1330048 1975296 1995072 2660096 3990144 5320192 6681413 7980288 10640384 13362826 15960576 20044239 26725652 31921152 40088478 53451304 80176956 106902608 160353912 213805216 320707824 427610432 641415648 855220864 1282831296 1710441728 2565662592 3420883456 5131325184 6841766912 10262650368 20525300736