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173638056601 = 71258692
BaseRepresentation
bin1010000110110110100…
…0100111101010011001
3121121012010122012120101
42201231220213222121
510321102320302401
6211433534055401
715354625062112
oct2415550475231
9547163565511
10173638056601
1167704179a19
122979b04a561
13134b28a02b9
148592cd1209
1547b3e28101
hex286da27a99

173638056601 has 9 divisors (see below), whose sum is σ = 176148121503. Its totient is φ = 171163281240.

The previous prime is 173638056569. The next prime is 173638056607. The reversal of 173638056601 is 106650836371.

The square root of 173638056601 is 416699.

It is a perfect power (a square), and thus also a powerful number.

173638056601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 16679464201 + 156958592400 = 129149^2 + 396180^2 .

It is not a de Polignac number, because 173638056601 - 25 = 173638056569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (173638056607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29582695 + ... + 29588563.

Almost surely, 2173638056601 is an apocalyptic number.

173638056601 is the 416699-th square number.

173638056601 is the 208350-th centered octagonal number.

It is an amenable number.

173638056601 is a deficient number, since it is larger than the sum of its proper divisors (2510064902).

173638056601 is an frugal number, since it uses more digits than its factorization.

173638056601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11880 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 173638056601 in words is "one hundred seventy-three billion, six hundred thirty-eight million, fifty-six thousand, six hundred one".

Divisors: 1 71 5041 5869 416699 29585629 34445161 2445606431 173638056601