Search a number
-
+
38091720891780 = 223251479714301593
BaseRepresentation
bin10001010100100111010110…
…11111100001110110000100
311222212112101112010020012100
420222103223133201312010
514443043321022014110
6213003032304152100
711011015232206263
oct1052235337416604
9158775345106170
1038091720891780
1111156676437896
124332520308630
13183405953822a
149599132ca5da
15460cbe1e9bc0
hex22a4eb7e1d84

38091720891780 has 72 divisors (see below), whose sum is σ = 115552703454552. Its totient is φ = 10157105051136.

The previous prime is 38091720891773. The next prime is 38091720891827. The reversal of 38091720891780 is 8719802719083.

38091720891780 is a `hidden beast` number, since 380 + 9 + 1 + 7 + 2 + 0 + 89 + 178 + 0 = 666.

38091720891780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1674068524164 + 36417652367616 = 1293858^2 + 6034704^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4487337 + ... + 9814256.

It is an arithmetic number, because the mean of its divisors is an integer number (1604898659091).

Almost surely, 238091720891780 is an apocalyptic number.

38091720891780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38091720891780 is an abundant number, since it is smaller than the sum of its proper divisors (77460982562772).

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

38091720891780 is a wasteful number, since it uses less digits than its factorization.

38091720891780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14316405 (or 14316400 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 38091720891780 in words is "thirty-eight trillion, ninety-one billion, seven hundred twenty million, eight hundred ninety-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 14797 29594 44391 59188 73985 88782 133173 147970 177564 221955 266346 295940 443910 532692 665865 887820 1331730 2663460 14301593 28603186 42904779 57206372 71507965 85809558 128714337 143015930 171619116 214523895 257428674 286031860 429047790 514857348 643571685 858095580 1287143370 2574286740 211620671621 423241343242 634862014863 846482686484 1058103358105 1269724029726 1904586044589 2116206716210 2539448059452 3174310074315 3809172089178 4232413432420 6348620148630 7618344178356 9522930222945 12697240297260 19045860445890 38091720891780