Search a number
-
+
38412811821483 = 3311229340129093
BaseRepresentation
bin10001011101111101011100…
…00000001110000110101011
312001000020011220100111102000
420232332232000032012223
520013323414311241413
6213410334021142043
711043143200113621
oct1056765600160653
9161006156314360
1038412811821483
111126a866942800
1243847b0b5a923
13185840aa67aa8
1496b293571511
154693132b8073
hex22efae00e1ab

38412811821483 has 48 divisors (see below), whose sum is σ = 62765113343520. Its totient is φ = 23201035830720.

The previous prime is 38412811821469. The next prime is 38412811821497.

38412811821483 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 2 + 81 + 1 + 82 + 1 + 483 = 666.

38412811821483 is nontrivially palindromic in base 10.

38412811821483 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38412811821469) and next prime (38412811821497).

It is not a de Polignac number, because 38412811821483 - 210 = 38412811820459 is a prime.

It is a super-2 number, since 2×384128118214832 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38412811121483) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19107316 + ... + 21021777.

It is an arithmetic number, because the mean of its divisors is an integer number (1307606527990).

Almost surely, 238412811821483 is an apocalyptic number.

38412811821483 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

38412811821483 is a deficient number, since it is larger than the sum of its proper divisors (24352301522037).

38412811821483 is a wasteful number, since it uses less digits than its factorization.

38412811821483 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40129417 (or 40129400 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The spelling of 38412811821483 in words is "thirty-eight trillion, four hundred twelve billion, eight hundred eleven million, eight hundred twenty-one thousand, four hundred eighty-three".

Divisors: 1 3 9 11 27 33 99 121 293 297 363 879 1089 2637 3223 3267 7911 9669 29007 35453 87021 106359 319077 957231 40129093 120387279 361161837 441420023 1083485511 1324260069 3972780207 4855620253 11757824249 11918340621 14566860759 35273472747 43700582277 105820418241 129336066739 131101746831 317461254723 388008200217 1164024600651 1422696734129 3492073801953 4268090202387 12804270607161 38412811821483