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78343450201 = 31290292
BaseRepresentation
bin100100011110110100…
…0100010111001011001
321111012220000121212201
41020331220202321121
52240421410401301
655553540010201
75442265224232
oct1107550427131
9244186017781
1078343450201
1130252920765
1213225090961
137506b8c633
143b12b64089
152087d4e201
hex123da22e59

78343450201 has 9 divisors (see below), whose sum is σ = 80961147903. Its totient is φ = 75807845160.

The previous prime is 78343450187. The next prime is 78343450217. The reversal of 78343450201 is 10205434387.

It is a happy number.

The square root of 78343450201 is 279899.

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., 78204681801 + 138768400 = 279651^2 + 11780^2 .

It is not a de Polignac number, because 78343450201 - 25 = 78343450169 is a prime.

It is a super-2 number, since 2×783434502012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78343450231) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8672355 + ... + 8681383.

Almost surely, 278343450201 is an apocalyptic number.

78343450201 is the 279899-th square number.

78343450201 is the 139950-th centered octagonal number.

It is an amenable number.

78343450201 is a deficient number, since it is larger than the sum of its proper divisors (2617697702).

78343450201 is an frugal number, since it uses more digits than its factorization.

78343450201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18120 (or 9060 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

Adding to 78343450201 its reverse (10205434387), we get a palindrome (88548884588).

The spelling of 78343450201 in words is "seventy-eight billion, three hundred forty-three million, four hundred fifty thousand, two hundred one".

Divisors: 1 31 961 9029 279899 8676869 81522841 2527208071 78343450201