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20425464306 = 2341325573793
BaseRepresentation
bin10011000001011100…
…111101100111110010
31221201111010002120000
4103001130331213302
5313312404324211
613214444330430
71322106403422
oct230134754762
957644102500
1020425464306
118731707715
123b60543a16
131c06893870
14dba9d8482
157e82ae656
hex4c173d9f2

20425464306 has 80 divisors (see below), whose sum is σ = 49321074264. Its totient is φ = 6280644096.

The previous prime is 20425464263. The next prime is 20425464361. The reversal of 20425464306 is 60346452402.

20425464306 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 5 + 4 + 643 + 0 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9989003025 + 10436461281 = 99945^2 + 102159^2 .

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 39 ways as a sum of consecutive naturals, for example, 5383146 + ... + 5386938.

Almost surely, 220425464306 is an apocalyptic number.

20425464306 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20425464306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24660537132).

20425464306 is an abundant number, since it is smaller than the sum of its proper divisors (28895609958).

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

20425464306 is a wasteful number, since it uses less digits than its factorization.

20425464306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6377 (or 6368 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 20425464306 in words is "twenty billion, four hundred twenty-five million, four hundred sixty-four thousand, three hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 2557 3793 5114 7586 7671 11379 15342 22758 23013 33241 34137 46026 49309 66482 68274 69039 98618 99723 102411 138078 147927 199446 204822 207117 295854 299169 307233 414234 443781 598338 614466 887562 897507 1331343 1795014 2662686 2692521 3994029 5385042 7988058 9698701 19397402 29096103 58192206 87288309 126083113 174576618 252166226 261864927 378249339 523729854 756498678 785594781 1134748017 1571189562 2269496034 3404244051 6808488102 10212732153 20425464306