Search a number
-
+
38406807810117 = 3223394751384017
BaseRepresentation
bin10001011101110010010000…
…01000101111000001000101
312000222122200110202010011200
420232321020020233001011
520013224120244410432
6213403502142253113
711042541333630405
oct1056711010570105
9160878613663150
1038406807810117
111126826582213a
1243835b6287199
131857991bc6246
1496ac83dda805
154690b113ba7c
hex22ee4822f045

38406807810117 has 24 divisors (see below), whose sum is σ = 55512044565120. Its totient is φ = 25588138128000.

The previous prime is 38406807810061. The next prime is 38406807810157. The reversal of 38406807810117 is 71101870860483.

38406807810117 is a `hidden beast` number, since 38 + 406 + 80 + 7 + 8 + 10 + 117 = 666.

It is not a de Polignac number, because 38406807810117 - 216 = 38406807744581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38406807810157) 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 23 ways as a sum of consecutive naturals, for example, 99821293 + ... + 100205309.

It is an arithmetic number, because the mean of its divisors is an integer number (2313001856880).

Almost surely, 238406807810117 is an apocalyptic number.

It is an amenable number.

38406807810117 is a deficient number, since it is larger than the sum of its proper divisors (17105236755003).

38406807810117 is a wasteful number, since it uses less digits than its factorization.

38406807810117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391113 (or 391110 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 38406807810117 in words is "thirty-eight trillion, four hundred six billion, eight hundred seven million, eight hundred ten thousand, one hundred seventeen".

Divisors: 1 3 9 2339 4751 7017 14253 21051 42759 384017 1152051 3456153 11112589 33337767 100013301 898215763 1824464767 2694647289 5473394301 8083941867 16420182903 4267423090013 12802269270039 38406807810117