Search a number
-
+
38371149001 = 2910091311341
BaseRepresentation
bin100011101111000110…
…010100010011001001
310200001011002022222201
4203233012110103021
51112041003232001
625343310520201
72525605246033
oct435706242311
9120034068881
1038371149001
1115300571199
12752a506061
1338067877c3
141c00126c53
15ee89d9501
hex8ef1944c9

38371149001 has 8 divisors (see below), whose sum is σ = 39733662600. Its totient is φ = 37011260160.

The previous prime is 38371148999. The next prime is 38371149077. The reversal of 38371149001 is 10094117383.

It can be written as a sum of positive squares in 4 ways, for example, as 151290000 + 38219859001 = 12300^2 + 195499^2 .

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 38371149001 - 21 = 38371148999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38371149101) 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 7 ways as a sum of consecutive naturals, for example, 626410 + ... + 684931.

It is an arithmetic number, because the mean of its divisors is an integer number (4966707825).

Almost surely, 238371149001 is an apocalyptic number.

It is an amenable number.

38371149001 is a deficient number, since it is larger than the sum of its proper divisors (1362513599).

38371149001 is a wasteful number, since it uses less digits than its factorization.

38371149001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312379.

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 38371149001 in words is "thirty-eight billion, three hundred seventy-one million, one hundred forty-nine thousand, one".

Divisors: 1 29 1009 29261 1311341 38028889 1323143069 38371149001