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18779534904 = 233131071573583
BaseRepresentation
bin10001011111010110…
…001111011000111000
31210110210000012212210
4101133112033120320
5301430030104104
612343250335120
71233242261424
oct213726173070
953423005783
1018779534904
117a67615589
12378128a4a0
131a03899440
14ca2189b84
1574da3b989
hex45f58f638

18779534904 has 128 divisors (see below), whose sum is σ = 51372195840. Its totient is φ = 5686267392.

The previous prime is 18779534819. The next prime is 18779534909. The reversal of 18779534904 is 40943597781.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18779534909) 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 31 ways as a sum of consecutive naturals, for example, 5239497 + ... + 5243079.

It is an arithmetic number, because the mean of its divisors is an integer number (401345280).

Almost surely, 218779534904 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 18779534904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25686097920).

18779534904 is an abundant number, since it is smaller than the sum of its proper divisors (32592660936).

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

18779534904 is a wasteful number, since it uses less digits than its factorization.

18779534904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 18779534904 in words is "eighteen billion, seven hundred seventy-nine million, five hundred thirty-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 107 156 157 214 312 314 321 428 471 628 642 856 942 1256 1284 1391 1884 2041 2568 2782 3583 3768 4082 4173 5564 6123 7166 8164 8346 10749 11128 12246 14332 16328 16692 16799 21498 24492 28664 33384 33598 42996 46579 48984 50397 67196 85992 93158 100794 134392 139737 186316 201588 218387 279474 372632 383381 403176 436774 558948 562531 655161 766762 873548 1117896 1125062 1150143 1310322 1533524 1687593 1747096 2250124 2300286 2620644 3067048 3375186 4500248 4600572 4983953 5241288 6750372 7312903 9201144 9967906 13500744 14625806 14951859 19935812 21938709 29251612 29903718 39871624 43877418 58503224 59807436 60190817 87754836 119614872 120381634 175509672 180572451 240763268 361144902 481526536 722289804 782480621 1444579608 1564961242 2347441863 3129922484 4694883726 6259844968 9389767452 18779534904