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20488614741 = 35714298429
BaseRepresentation
bin10011000101001101…
…110111001101010101
31221212212221110200000
4103011031313031111
5313430041132431
613225022041513
71323504231450
oct230515671525
957785843600
1020488614741
11876431a561
123b79719299
131c169a479a
14dc5156497
157edad59e6
hex4c5377355

20488614741 has 48 divisors (see below), whose sum is σ = 35103868800. Its totient is φ = 11698198848.

The previous prime is 20488614733. The next prime is 20488614779. The reversal of 20488614741 is 14741688402.

20488614741 is a `hidden beast` number, since 20 + 4 + 8 + 8 + 614 + 7 + 4 + 1 = 666.

It is not a de Polignac number, because 20488614741 - 23 = 20488614733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20488614721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2426515 + ... + 2434943.

It is an arithmetic number, because the mean of its divisors is an integer number (731330600).

Almost surely, 220488614741 is an apocalyptic number.

20488614741 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20488614741 is a deficient number, since it is larger than the sum of its proper divisors (14615254059).

20488614741 is an equidigital number, since it uses as much as digits as its factorization.

20488614741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9880 (or 9868 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 20488614741 in words is "twenty billion, four hundred eighty-eight million, six hundred fourteen thousand, seven hundred forty-one".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1429 1701 4287 8429 10003 12861 25287 30009 38583 59003 75861 90027 115749 177009 227583 270081 347247 531027 682749 810243 1593081 2048247 2430729 4779243 12045041 14337729 36135123 84315287 108405369 252945861 325216107 758837583 975648321 2276512749 2926944963 6829538247 20488614741