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20404124412 = 22372327138971
BaseRepresentation
bin10011000000001011…
…100011101011111100
31221122222221220201120
4103000023203223330
5313241423440122
613212403110540
71321430124120
oct230013435374
957588856646
1020404124412
118720661741
123b55372450
131c023315c9
14db7c41580
157e649675c
hex4c02e3afc

20404124412 has 96 divisors (see below), whose sum is σ = 56987664384. Its totient is φ = 5555563200.

The previous prime is 20404124393. The next prime is 20404124431. The reversal of 20404124412 is 21442140402.

It is an interprime number because it is at equal distance from previous prime (20404124393) and next prime (20404124431).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 504087 + ... + 543057.

It is an arithmetic number, because the mean of its divisors is an integer number (593621504).

Almost surely, 220404124412 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 20404124412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28493832192).

20404124412 is an abundant number, since it is smaller than the sum of its proper divisors (36583539972).

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

20404124412 is a wasteful number, since it uses less digits than its factorization.

20404124412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39279 (or 39277 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 20404124412 its reverse (21442140402), we get a palindrome (41846264814).

The spelling of 20404124412 in words is "twenty billion, four hundred four million, one hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 271 276 322 483 542 644 813 966 1084 1626 1897 1932 3252 3794 5691 6233 7588 11382 12466 18699 22764 24932 37398 38971 43631 74796 77942 87262 116913 130893 155884 174524 233826 261786 272797 467652 523572 545594 818391 896333 1091188 1636782 1792666 2688999 3273564 3585332 5377998 6274331 10561141 10755996 12548662 18822993 21122282 25097324 31683423 37645986 42244564 63366846 73927987 75291972 126733692 147855974 221783961 242906243 295711948 443567922 485812486 728718729 887135844 971624972 1457437458 1700343701 2914874916 3400687402 5101031103 6801374804 10202062206 20404124412