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10715769289 = 61216972
BaseRepresentation
bin10011111101011010…
…11010100111001001
31000122210121111000001
421332231122213021
5133421214104124
64531152043001
7526355351611
oct117655324711
930583544001
1010715769289
1145a9855085
1220b0833461
13101a08b3b4
14739243a41
1542ab47b44
hex27eb5a9c9

10715769289 has 9 divisors (see below), whose sum is σ = 10900740981. Its totient is φ = 10533889920.

The previous prime is 10715769269. The next prime is 10715769301. The reversal of 10715769289 is 98296751701.

It is a happy number.

The square root of 10715769289 is 103517.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1863225 + 10713906064 = 1365^2 + 103508^2 .

It is not a de Polignac number, because 10715769289 - 25 = 10715769257 is a prime.

It is a super-2 number, since 2×107157692892 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10715769269) 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, 6313689 + ... + 6315385.

Almost surely, 210715769289 is an apocalyptic number.

10715769289 is the 103517-th square number.

10715769289 is the 51759-th centered octagonal number.

It is an amenable number.

10715769289 is a deficient number, since it is larger than the sum of its proper divisors (184971692).

10715769289 is an frugal number, since it uses more digits than its factorization.

10715769289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 55.

The spelling of 10715769289 in words is "ten billion, seven hundred fifteen million, seven hundred sixty-nine thousand, two hundred eighty-nine".

Divisors: 1 61 1697 3721 103517 2879809 6314537 175668349 10715769289