Search a number
-
+
75713388217 = 10321512313
BaseRepresentation
bin100011010000011011…
…1101001111010111001
321020102121002122002121
41012200313221322321
52220030111410332
654440544401241
75320151116105
oct1064067517271
9236377078077
1075713388217
112a123263215
1212810316221
1371a802243c
143943738905
151e81ed1797
hex11a0de9eb9

75713388217 has 18 divisors (see below), whose sum is σ = 77211183546. Its totient is φ = 74243800800.

The previous prime is 75713388187. The next prime is 75713388227. The reversal of 75713388217 is 71288331757.

It can be written as a sum of positive squares in only one way, i.e., 40880391721 + 34832996496 = 202189^2 + 186636^2 .

It is not a de Polignac number, because 75713388217 - 223 = 75704999609 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75713388227) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 241895653 + ... + 241895965.

It is an arithmetic number, because the mean of its divisors is an integer number (4289510197).

Almost surely, 275713388217 is an apocalyptic number.

It is an amenable number.

75713388217 is a deficient number, since it is larger than the sum of its proper divisors (1497795329).

75713388217 is an equidigital number, since it uses as much as digits as its factorization.

75713388217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 567 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 52.

The spelling of 75713388217 in words is "seventy-five billion, seven hundred thirteen million, three hundred eighty-eight thousand, two hundred seventeen".

Divisors: 1 103 151 313 10609 15553 22801 32239 47263 1601959 2348503 3320617 4868089 7136713 241895809 501413167 735081439 75713388217