Search a number
-
+
109849159225 = 5213250992
BaseRepresentation
bin110011001001110000…
…1010010011000111001
3101111112120120110201201
41212103201102120321
53244432341043400
6122244120414201
710636110306301
oct1462341223071
9344476513651
10109849159225
114264aa94213
1219358317361
13a488195400
14546115a601
152ccdc4e06a
hex1993852639

109849159225 has 27 divisors (see below), whose sum is σ = 147525803373. Its totient is φ = 81103470240.

The previous prime is 109849159193. The next prime is 109849159237. The reversal of 109849159225 is 522951948901.

It is a happy number.

The square root of 109849159225 is 331435.

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 28313783289 + 81535375936 = 168267^2 + 285544^2 .

It is not a de Polignac number, because 109849159225 - 25 = 109849159193 is a prime.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 21540726 + ... + 21545824.

Almost surely, 2109849159225 is an apocalyptic number.

109849159225 is the 331435-th square number.

109849159225 is the 165718-th centered octagonal number.

It is an amenable number.

109849159225 is a deficient number, since it is larger than the sum of its proper divisors (37676644148).

109849159225 is an frugal number, since it uses more digits than its factorization.

109849159225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10234 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 55.

The spelling of 109849159225 in words is "one hundred nine billion, eight hundred forty-nine million, one hundred fifty-nine thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 5099 25495 66287 127475 331435 861731 1657175 4308655 21543275 25999801 129999005 337997413 649995025 1689987065 4393966369 8449935325 21969831845 109849159225