Search a number
-
+
173052663144 = 23361186763313
BaseRepresentation
bin1010000100101010111…
…1100001010101101000
3121112200100010010201020
42201022233201111220
510313402440210034
6211255503052440
715334256236464
oct2411257412550
9545610103636
10173052663144
1167433798179
1229656ba1120
131341b519c3a
14853926b4a4
15477c843249
hex284abe1568

173052663144 has 64 divisors (see below), whose sum is σ = 439966453440. Its totient is φ = 56707292160.

The previous prime is 173052663143. The next prime is 173052663167. The reversal of 173052663144 is 441366250371.

It is a junction number, because it is equal to n+sod(n) for n = 173052663096 and 173052663105.

It is not an unprimeable number, because it can be changed into a prime (173052663143) 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 15 ways as a sum of consecutive naturals, for example, 2701632 + ... + 2764944.

It is an arithmetic number, because the mean of its divisors is an integer number (6874475835).

Almost surely, 2173052663144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 173052663144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219983226720).

173052663144 is an abundant number, since it is smaller than the sum of its proper divisors (266913790296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

173052663144 is a wasteful number, since it uses less digits than its factorization.

173052663144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65250 (or 65246 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 173052663144 in words is "one hundred seventy-three billion, fifty-two million, six hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 1867 3734 5601 7468 11202 14936 22404 44808 63313 113887 126626 189939 227774 253252 341661 379878 455548 506504 683322 759756 911096 1366644 1519512 2733288 3862093 7724186 11586279 15448372 23172558 30896744 46345116 92690232 118205371 236410742 354616113 472821484 709232226 945642968 1418464452 2836928904 7210527631 14421055262 21631582893 28842110524 43263165786 57684221048 86526331572 173052663144