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38423961765 = 33572172101199
BaseRepresentation
bin100011110010001111…
…110010000010100101
310200011211110111111000
4203302033302002211
51112143013234030
625352434503513
72530116200100
oct436217620245
9120154414430
1038423961765
1115328363202
127544134b99
1338146b9267
141c07153737
15eed46c860
hex8f23f20a5

38423961765 has 288 divisors, whose sum is σ = 85675104000. Its totient is φ = 16286054400.

The previous prime is 38423961743. The next prime is 38423961767. The reversal of 38423961765 is 56716932483.

38423961765 is a `hidden beast` number, since 3 + 84 + 2 + 396 + 176 + 5 = 666.

It is not a de Polignac number, because 38423961765 - 25 = 38423961733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38423961767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 193085136 + ... + 193085334.

It is an arithmetic number, because the mean of its divisors is an integer number (297483000).

Almost surely, 238423961765 is an apocalyptic number.

38423961765 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38423961765 is an abundant number, since it is smaller than the sum of its proper divisors (47251142235).

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

38423961765 is a wasteful number, since it uses less digits than its factorization.

38423961765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 332 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 38423961765 in words is "thirty-eight billion, four hundred twenty-three million, nine hundred sixty-one thousand, seven hundred sixty-five".