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38027561311905 = 35112129388127893
BaseRepresentation
bin10001010010101111110110…
…10010001001111010100001
311222122101210010112212120020
420221113323102021322201
514441020421143440110
6212513342005504053
711003254263605454
oct1051277322117241
9158571703485506
1038027561311905
1111131441a90910
124321bb5412029
13182aca30b5199
1495678822349b
1545e2b66edd70
hex2295fb489ea1

38027561311905 has 64 divisors (see below), whose sum is σ = 66426048587520. Its totient is φ = 18423536230400.

The previous prime is 38027561311793. The next prime is 38027561312003. The reversal of 38027561311905 is 50911316572083.

38027561311905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38027561311905 - 236 = 37958841835169 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 1363323139 + ... + 1363351031.

It is an arithmetic number, because the mean of its divisors is an integer number (1037907009180).

Almost surely, 238027561311905 is an apocalyptic number.

It is an amenable number.

38027561311905 is a deficient number, since it is larger than the sum of its proper divisors (28398487275615).

38027561311905 is a wasteful number, since it uses less digits than its factorization.

38027561311905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33922.

The product of its (nonzero) digits is 1360800, while the sum is 51.

Adding to 38027561311905 its reverse (50911316572083), we get a palindrome (88938877883988).

The spelling of 38027561311905 in words is "thirty-eight trillion, twenty-seven billion, five hundred sixty-one million, three hundred eleven thousand, nine hundred five".

Divisors: 1 3 5 11 15 33 55 165 2129 3881 6387 10645 11643 19405 23419 27893 31935 42691 58215 70257 83679 117095 128073 139465 213455 306823 351285 418395 640365 920469 1534115 4602345 8262649 24787947 41313245 59384197 90889139 108252733 123939735 178152591 272667417 296920985 324758199 454445695 541263665 653226167 890762955 1190780063 1363337085 1623790995 1959678501 3266130835 3572340189 5953900315 9798392505 17861700945 230470068557 691410205671 1152350342785 2535170754127 3457051028355 7605512262381 12675853770635 38027561311905