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173998271161 = 11213229172
BaseRepresentation
bin1010001000001100011…
…0101110101010111001
3121122010020110000001101
42202003012232222321
510322322024134121
6211533402451401
715366560621251
oct2420306565271
9548106400041
10173998271161
1167879540500
122987b803b61
131353c3c1900
1485c8a9a961
1547d587d491
hex28831aeab9

173998271161 has 27 divisors (see below), whose sum is σ = 207168870573. Its totient is φ = 145962479520.

The previous prime is 173998271113. The next prime is 173998271243. The reversal of 173998271161 is 161172899371.

The square root of 173998271161 is 417131.

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

It can be written as a sum of positive squares in 4 ways, for example, as 21336152761 + 152662118400 = 146069^2 + 390720^2 .

It is not a de Polignac number, because 173998271161 - 213 = 173998262969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (173998274161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59648275 + ... + 59651191.

Almost surely, 2173998271161 is an apocalyptic number.

173998271161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

173998271161 is the 417131-st square number.

173998271161 is the 208566-th centered octagonal number.

It is an amenable number.

173998271161 is a deficient number, since it is larger than the sum of its proper divisors (33170599412).

173998271161 is an frugal number, since it uses more digits than its factorization.

173998271161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882 (or 2941 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 55.

The spelling of 173998271161 in words is "one hundred seventy-three billion, nine hundred ninety-eight million, two hundred seventy-one thousand, one hundred sixty-one".

Divisors: 1 11 13 121 143 169 1573 1859 2917 20449 32087 37921 352957 417131 492973 4588441 5422703 8508889 59649733 93597779 110615557 1029575569 1216771127 1438002241 13384482397 15818024651 173998271161