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20638207536 = 2431726396167
BaseRepresentation
bin10011001110001000…
…100000111000110000
31222021022102120101220
4103032020200320300
5314231340120121
613251524225040
71330301604162
oct231610407060
958238376356
1020638207536
118830803871
123bbb83b180
131c3b99022b
14ddad76932
1580bcd46c6
hex4ce220e30

20638207536 has 80 divisors (see below), whose sum is σ = 56666801664. Its totient is φ = 6450045952.

The previous prime is 20638207529. The next prime is 20638207543. The reversal of 20638207536 is 63570283602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20638207529) and next prime (20638207543).

It is a super-2 number, since 2×206382075362 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166525 + ... + 262691.

Almost surely, 220638207536 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 20638207536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28333400832).

20638207536 is an abundant number, since it is smaller than the sum of its proper divisors (36028594128).

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

20638207536 is a wasteful number, since it uses less digits than its factorization.

20638207536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96458 (or 96452 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 20638207536 in words is "twenty billion, six hundred thirty-eight million, two hundred seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 263 272 408 526 789 816 1052 1578 2104 3156 4208 4471 6312 8942 12624 13413 17884 26826 35768 53652 71536 96167 107304 192334 214608 288501 384668 577002 769336 1154004 1538672 1634839 2308008 3269678 4616016 4904517 6539356 9809034 13078712 19618068 25291921 26157424 39236136 50583842 75875763 78472272 101167684 151751526 202335368 303503052 404670736 429962657 607006104 859925314 1214012208 1289887971 1719850628 2579775942 3439701256 5159551884 6879402512 10319103768 20638207536