Search a number
-
+
116469308176 = 2413265632
BaseRepresentation
bin110110001111000011…
…1001001101100010000
3102010121221112212211121
41230132013021230100
53402012120330201
6125301045252024
711262134533144
oct1543607115420
9363557485747
10116469308176
11454379850a1
121a6a5404014
13aca1892c00
1458cc479224
15306a0349a1
hex1b1e1c9b10

116469308176 has 45 divisors (see below), whose sum is σ = 244390190709. Its totient is φ = 53746874688.

The previous prime is 116469308173. The next prime is 116469308177. The reversal of 116469308176 is 671803964611.

The square root of 116469308176 is 341276.

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., 17229187600 + 99240120576 = 131260^2 + 315024^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116469308173) 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, 17743071 + ... + 17749633.

Almost surely, 2116469308176 is an apocalyptic number.

116469308176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

116469308176 is the 341276-th square number.

It is an amenable number.

116469308176 is an abundant number, since it is smaller than the sum of its proper divisors (127920882533).

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

116469308176 is an frugal number, since it uses more digits than its factorization.

116469308176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13160 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 116469308176 in words is "one hundred sixteen billion, four hundred sixty-nine million, three hundred eight thousand, one hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 6563 13126 26252 52504 85319 105008 170638 341276 682552 1109147 1365104 2218294 4436588 8873176 17746352 43072969 86145938 172291876 344583752 559948597 689167504 1119897194 2239794388 4479588776 7279331761 8959177552 14558663522 29117327044 58234654088 116469308176