Search a number
-
+
38657466475683 = 31115746027162109
BaseRepresentation
bin10001100101000101001001…
…00011101010010010100011
312001212121200022020122120220
420302202210203222102203
520031330442404210213
6214114554523334123
711066624025265056
oct1062424443522243
9161777608218526
1038657466475683
11113545a30335a0
1244040ab381343
1318754ca581473
149790620a6a9d
15470881bb0e23
hex2328a48ea4a3

38657466475683 has 32 divisors (see below), whose sum is σ = 56588767422720. Its totient is φ = 23278890360960.

The previous prime is 38657466475627. The next prime is 38657466475709.

38657466475683 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 38657466475683 - 222 = 38657462281379 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38657466475599 and 38657466475608.

It is not an unprimeable number, because it can be changed into a prime (38657466475613) 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 31 ways as a sum of consecutive naturals, for example, 238384833 + ... + 238546941.

It is an arithmetic number, because the mean of its divisors is an integer number (1768398981960).

Almost surely, 238657466475683 is an apocalyptic number.

38657466475683 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

38657466475683 is a deficient number, since it is larger than the sum of its proper divisors (17931300947037).

38657466475683 is a wasteful number, since it uses less digits than its factorization.

38657466475683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208307.

The product of its digits is 14631321600, while the sum is 78.

The spelling of 38657466475683 in words is "thirty-eight trillion, six hundred fifty-seven billion, four hundred sixty-six million, four hundred seventy-five thousand, six hundred eighty-three".

Divisors: 1 3 11 33 157 471 1727 5181 46027 138081 162109 486327 506297 1518891 1783199 5349597 7226239 21678717 25451113 76353339 79488629 238465887 279962243 839886729 7461390943 22384172829 82075300373 246225901119 1171438378051 3514315134153 12885822158561 38657466475683