Search a number
-
+
129271168849 = 257213992
BaseRepresentation
bin111100001100100101…
…0010111111101010001
3110100200010111210020111
41320121022113331101
54104221404400344
6135215241441321
712224313543124
oct1703112277521
9410603453214
10129271168849
114a907228539
12210787a0241
13c261bac4b4
1463847883bb
153568d98834
hex1e19297f51

129271168849 has 9 divisors (see below), whose sum is σ = 129868956507. Its totient is φ = 128676125184.

The previous prime is 129271168841. The next prime is 129271168867. The reversal of 129271168849 is 948861172921.

The square root of 129271168849 is 359543.

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., 127266995025 + 2004173824 = 356745^2 + 44768^2 .

It is not a de Polignac number, because 129271168849 - 23 = 129271168841 is a prime.

It is a super-2 number, since 2×1292711688492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 129271168793 and 129271168802.

It is not an unprimeable number, because it can be changed into a prime (129271168841) 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, 92401852 + ... + 92403250.

Almost surely, 2129271168849 is an apocalyptic number.

129271168849 is the 359543-rd square number.

129271168849 is the 179772-nd centered octagonal number.

It is an amenable number.

129271168849 is a deficient number, since it is larger than the sum of its proper divisors (597787658).

129271168849 is an frugal number, since it uses more digits than its factorization.

129271168849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312 (or 1656 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 58.

The spelling of 129271168849 in words is "one hundred twenty-nine billion, two hundred seventy-one million, one hundred sixty-eight thousand, eight hundred forty-nine".

Divisors: 1 257 1399 66049 359543 1957201 92402551 503000657 129271168849