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38401125514807 = 118342060378439
BaseRepresentation
bin10001011101100111101010…
…11100011111111000110111
312000222010000110111121101211
420232303311130133320313
520013131001112433212
6213401122235102251
711042250455130646
oct1056636534377067
9160863013447354
1038401125514807
111126590a268610
12438248b2a1987
1318572978b6a23
1496a8a548d35d
15468d7c35d9a7
hex22ecf571fe37

38401125514807 has 8 divisors (see below), whose sum is σ = 42396861467520. Its totient is φ = 34489510319160.

The previous prime is 38401125514789. The next prime is 38401125514831. The reversal of 38401125514807 is 70841552110483.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 38401125514807 - 211 = 38401125512759 is a prime.

It is a super-3 number, since 3×384011255148073 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38401125514847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21030188307 + ... + 21030190132.

It is an arithmetic number, because the mean of its divisors is an integer number (5299607683440).

Almost surely, 238401125514807 is an apocalyptic number.

38401125514807 is a deficient number, since it is larger than the sum of its proper divisors (3995735952713).

38401125514807 is a wasteful number, since it uses less digits than its factorization.

38401125514807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42060378533.

The product of its (nonzero) digits is 1075200, while the sum is 49.

The spelling of 38401125514807 in words is "thirty-eight trillion, four hundred one billion, one hundred twenty-five million, five hundred fourteen thousand, eight hundred seven".

Divisors: 1 11 83 913 42060378439 462664162829 3491011410437 38401125514807