Search a number
-
+
171080460680 = 23525577167221
BaseRepresentation
bin1001111101010100110…
…0001010100110001000
3121100120220001212112112
42133111030022212020
510300333044220210
6210332052001452
715234350631203
oct2372514124610
9540526055475
10171080460680
1166611507288
12291a6600288
1313195a5622c
1483cd36a93a
1546b4621d05
hex27d530a988

171080460680 has 32 divisors (see below), whose sum is σ = 384948388440. Its totient is φ = 68429099520.

The previous prime is 171080460673. The next prime is 171080460689. The reversal of 171080460680 is 86064080171.

It can be written as a sum of positive squares in 4 ways, for example, as 100378714276 + 70701746404 = 316826^2 + 265898^2 .

It is not an unprimeable number, because it can be changed into a prime (171080460689) 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 7 ways as a sum of consecutive naturals, for example, 939470 + ... + 1106690.

Almost surely, 2171080460680 is an apocalyptic number.

171080460680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

171080460680 is an abundant number, since it is smaller than the sum of its proper divisors (213867927760).

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

171080460680 is a wasteful number, since it uses less digits than its factorization.

171080460680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192809 (or 192805 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 171080460680 in words is "one hundred seventy-one billion, eighty million, four hundred sixty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 25577 51154 102308 127885 167221 204616 255770 334442 511540 668884 836105 1023080 1337768 1672210 3344420 6688840 4277011517 8554023034 17108046068 21385057585 34216092136 42770115170 85540230340 171080460680