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88608038401 = 172658146589
BaseRepresentation
bin101001010000101110…
…0110101111000000001
322110201020122201210001
41102201130311320001
52422432124212101
6104412253440001
76254534620321
oct1224134657001
9273636581701
1088608038401
113463aa22803
121520a7a0001
13848162956c
1444080bd281
152489073901
hex14a1735e01

88608038401 has 12 divisors (see below), whose sum is σ = 94143201660. Its totient is φ = 83381338880.

The previous prime is 88608038359. The next prime is 88608038417. The reversal of 88608038401 is 10483080688.

It can be written as a sum of positive squares in 6 ways, for example, as 1124596225 + 87483442176 = 33535^2 + 295776^2 .

It is not a de Polignac number, because 88608038401 - 223 = 88599649793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88608038461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1878615 + ... + 1925203.

It is an arithmetic number, because the mean of its divisors is an integer number (7845266805).

Almost surely, 288608038401 is an apocalyptic number.

It is an amenable number.

88608038401 is a deficient number, since it is larger than the sum of its proper divisors (5535163259).

88608038401 is a wasteful number, since it uses less digits than its factorization.

88608038401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53204 (or 53187 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 88608038401 in words is "eighty-eight billion, six hundred eight million, thirty-eight thousand, four hundred one".

Divisors: 1 17 289 6581 46589 111877 792013 1901909 13464221 306602209 5212237553 88608038401