Search a number
-
+
38461617650729 = 7136716338701139
BaseRepresentation
bin10001011111011000010110…
…00011101011110000101001
312001011220011021010111201102
420233230023003223300221
520020123343104310404
6213445005003331145
711046521511610160
oct1057541303536051
9161156137114642
1038461617650729
1111289531520679
124392151b20ab5
13185cbb82a46b0
1496d7a344c3d7
1546a71cdc471e
hex22fb0b0ebc29

38461617650729 has 32 divisors (see below), whose sum is σ = 48338652687360. Its totient is φ = 29793064859712.

The previous prime is 38461617650681. The next prime is 38461617650761. The reversal of 38461617650729 is 92705671616483.

38461617650729 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 38461617650729 - 228 = 38461349215273 is a prime.

It is a super-2 number, since 2×384616176507292 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38461617652729) 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 31 ways as a sum of consecutive naturals, for example, 18356759 + ... + 20344380.

It is an arithmetic number, because the mean of its divisors is an integer number (1510582896480).

It is a 2-persistent number, because it is pandigital, and so is 2⋅38461617650729 = 76923235301458, but 3⋅38461617650729 = 115384852952187 is not.

Almost surely, 238461617650729 is an apocalyptic number.

It is an amenable number.

38461617650729 is a deficient number, since it is larger than the sum of its proper divisors (9877035036631).

38461617650729 is a wasteful number, since it uses less digits than its factorization.

38461617650729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38701389.

The product of its (nonzero) digits is 91445760, while the sum is 65.

The spelling of 38461617650729 in words is "thirty-eight trillion, four hundred sixty-one billion, six hundred seventeen million, six hundred fifty thousand, seven hundred twenty-nine".

Divisors: 1 7 13 67 91 163 469 871 1141 2119 6097 10921 14833 76447 141973 993811 38701139 270907973 503114807 2592976313 3521803649 6308285657 18150834191 33708692069 44157999599 82007713541 235960844483 422655139019 574053994787 2958585973133 5494516807247 38461617650729