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126217483441 = 72507532
BaseRepresentation
bin111010110001100100…
…1011111010010110001
3110001210022110111100221
41311203021133102301
54031443133432231
6133552234413041
712055533623200
oct1654311372261
9401708414327
10126217483441
114958a52a495
1220565b91181
13bb9634c25a
146174da9237
15343ac4cd11
hex1d6325f4b1

126217483441 has 9 divisors (see below), whose sum is σ = 146827312491. Its totient is φ = 108184282752.

The previous prime is 126217483439. The next prime is 126217483463. The reversal of 126217483441 is 144384712621.

The square root of 126217483441 is 355271.

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., 116236674225 + 9980809216 = 340935^2 + 99904^2 .

It is not a de Polignac number, because 126217483441 - 21 = 126217483439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126217483471) 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, 2461521 + ... + 2512273.

Almost surely, 2126217483441 is an apocalyptic number.

126217483441 is the 355271-st square number.

126217483441 is the 177636-th centered octagonal number.

It is an amenable number.

126217483441 is a deficient number, since it is larger than the sum of its proper divisors (20609829050).

126217483441 is an frugal number, since it uses more digits than its factorization.

126217483441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101520 (or 50760 counting only the distinct ones).

The product of its digits is 258048, while the sum is 43.

The spelling of 126217483441 in words is "one hundred twenty-six billion, two hundred seventeen million, four hundred eighty-three thousand, four hundred forty-one".

Divisors: 1 7 49 50753 355271 2486897 2575867009 18031069063 126217483441