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38281909001 = 72898778241
BaseRepresentation
bin100011101001110001…
…111001001100001001
310122210221011110201112
4203221301321030021
51111400132042001
625330402100105
72523442600100
oct435161711411
9118727143645
1038281909001
1115265159926
12750464a635
1337c114077b
141bd2337037
15ee0c5ccbb
hex8e9c79309

38281909001 has 12 divisors (see below), whose sum is σ = 45032381460. Its totient is φ = 32444375040.

The previous prime is 38281908997. The next prime is 38281909069. The reversal of 38281909001 is 10090918283.

It can be written as a sum of positive squares in 2 ways, for example, as 25999950025 + 12281958976 = 161245^2 + 110824^2 .

It is not a de Polignac number, because 38281909001 - 22 = 38281908997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 38281909001.

It is not an unprimeable number, because it can be changed into a prime (38281909301) 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 11 ways as a sum of consecutive naturals, for example, 4384760 + ... + 4393481.

It is an arithmetic number, because the mean of its divisors is an integer number (3752698455).

Almost surely, 238281909001 is an apocalyptic number.

It is an amenable number.

38281909001 is a deficient number, since it is larger than the sum of its proper divisors (6750472459).

38281909001 is an equidigital number, since it uses as much as digits as its factorization.

38281909001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8778344 (or 8778337 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 41.

The spelling of 38281909001 in words is "thirty-eight billion, two hundred eighty-one million, nine hundred nine thousand, one".

Divisors: 1 7 49 89 623 4361 8778241 61447687 430133809 781263449 5468844143 38281909001