Search a number
-
+
80628170401 = 172167032
BaseRepresentation
bin100101100010111010…
…0000011111010100001
321201010010010102210101
41023011310003322201
52310111302423101
6101012353302401
75553020066122
oct1130564037241
9251103112711
1080628170401
1131215555879
1213762264a01
1377ac31498c
143c8c376049
15216d703401
hex12c5d03ea1

80628170401 has 9 divisors (see below), whose sum is σ = 85655122291. Its totient is φ = 75880793632.

The previous prime is 80628170393. The next prime is 80628170453. The reversal of 80628170401 is 10407182608.

The square root of 80628170401 is 283951.

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

It can be written as a sum of positive squares in only one way, i.e., 62772797025 + 17855373376 = 250545^2 + 133624^2 .

It is not a de Polignac number, because 80628170401 - 23 = 80628170393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80628171401) 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 8 ways as a sum of consecutive naturals, for example, 4818816 + ... + 4835518.

Almost surely, 280628170401 is an apocalyptic number.

80628170401 is the 283951-st square number.

80628170401 is the 141976-th centered octagonal number.

It is an amenable number.

80628170401 is a deficient number, since it is larger than the sum of its proper divisors (5026951890).

80628170401 is an frugal number, since it uses more digits than its factorization.

80628170401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33440 (or 16720 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 80628170401 in words is "eighty billion, six hundred twenty-eight million, one hundred seventy thousand, four hundred one".

Divisors: 1 17 289 16703 283951 4827167 278990209 4742833553 80628170401