Search a number
-
+
38407654328330 = 257278382968017
BaseRepresentation
bin10001011101110011110101…
…00101111100100000001010
312000222201212110121200212002
420232321322211330200022
520013232334002001310
6213404122142151002
711042601323130500
oct1056717245744012
9160881773550762
1038407654328330
111126865a645871
1243837b1882462
131857a983b57b1
1496ad245d4670
15469110601da5
hex22ee7a97c80a

38407654328330 has 24 divisors (see below), whose sum is σ = 80420925186468. Its totient is φ = 13168338626688.

The previous prime is 38407654328327. The next prime is 38407654328333. The reversal of 38407654328330 is 3382345670483.

It is a happy number.

38407654328330 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 (38407654328327) and next prime (38407654328333).

It can be written as a sum of positive squares in 2 ways, for example, as 38357819570161 + 49834758169 = 6193369^2 + 223237^2 .

It is a super-2 number, since 2×384076543283302 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38407654328333) 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 11 ways as a sum of consecutive naturals, for example, 39191483519 + ... + 39191484498.

Almost surely, 238407654328330 is an apocalyptic number.

38407654328330 is an abundant number, since it is smaller than the sum of its proper divisors (42013270858138).

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

38407654328330 is a wasteful number, since it uses less digits than its factorization.

38407654328330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78382968038 (or 78382968031 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 56.

The spelling of 38407654328330 in words is "thirty-eight trillion, four hundred seven billion, six hundred fifty-four million, three hundred twenty-eight thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 78382968017 156765936034 391914840085 548680776119 783829680170 1097361552238 2743403880595 3840765432833 5486807761190 7681530865666 19203827164165 38407654328330