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38676368000538 = 2346011493926591
BaseRepresentation
bin10001100101101000010110…
…01011010000011000011010
312001221102110120210121020000
420302310023023100120122
520032133200202004123
6214131402252513430
711101163311506402
oct1062641313203032
9161842416717200
1038676368000538
1111361612499a14
1244078a547b876
1318772204c04b8
14979d36529802
154710db297b43
hex232d0b2d061a

38676368000538 has 80 divisors (see below), whose sum is σ = 86816988276480. Its totient is φ = 12869326008000.

The previous prime is 38676368000533. The next prime is 38676368000573. The reversal of 38676368000538 is 83500086367683.

38676368000538 is a `hidden beast` number, since 3 + 8 + 67 + 6 + 36 + 8 + 0 + 0 + 0 + 538 = 666.

It is a super-2 number, since 2×386763680005382 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38676368000533) 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 39 ways as a sum of consecutive naturals, for example, 1454477623 + ... + 1454504213.

It is an arithmetic number, because the mean of its divisors is an integer number (1085212353456).

Almost surely, 238676368000538 is an apocalyptic number.

38676368000538 is an abundant number, since it is smaller than the sum of its proper divisors (48140620275942).

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

38676368000538 is a wasteful number, since it uses less digits than its factorization.

38676368000538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42145 (or 42136 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 38676368000538 in words is "thirty-eight trillion, six hundred seventy-six billion, three hundred sixty-eight million, five hundred thirty-eight", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 81 162 601 1202 1803 3606 5409 10818 14939 16227 26591 29878 32454 44817 48681 53182 79773 89634 97362 134451 159546 239319 268902 403353 478638 717957 806706 1210059 1435914 2153871 2420118 4307742 8978339 15981191 17956678 26935017 31962382 47943573 53870034 80805051 95887146 143830719 161610102 242415153 287661438 397242949 431492157 484830306 727245459 794485898 862984314 1191728847 1294476471 1454490918 2383457694 2588952942 3575186541 7150373082 10725559623 21451119246 32176678869 64353357738 238743012349 477486024698 716229037047 1432458074094 2148687111141 4297374222282 6446061333423 12892122666846 19338184000269 38676368000538