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901681813 = 26927712101
BaseRepresentation
bin110101101111101…
…001001010010101
32022211200011220201
4311233221022111
53321312304223
6225250100501
731226111644
oct6557511225
92284604821
10901681813
11422a8098a
12211b7a731
13114a65046
1487a7735b
155425eead
hex35be9295

901681813 has 8 divisors (see below), whose sum is σ = 908376120. Its totient is φ = 895012800.

The previous prime is 901681801. The next prime is 901681849. The reversal of 901681813 is 318186109.

It can be written as a sum of positive squares in 4 ways, for example, as 97278769 + 804403044 = 9863^2 + 28362^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-901681813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901688813) 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, 68463 + ... + 80563.

It is an arithmetic number, because the mean of its divisors is an integer number (113547015).

Almost surely, 2901681813 is an apocalyptic number.

It is an amenable number.

901681813 is a deficient number, since it is larger than the sum of its proper divisors (6694307).

901681813 is a wasteful number, since it uses less digits than its factorization.

901681813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12647.

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 901681813 is about 30028.0171340034. The cubic root of 901681813 is about 966.0904076461.

The spelling of 901681813 in words is "nine hundred one million, six hundred eighty-one thousand, eight hundred thirteen".

Divisors: 1 269 277 12101 74513 3255169 3351977 901681813