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63262813441 = 97225932
BaseRepresentation
bin111010111010110000…
…011110110100000001
320001021220010220100111
4322322300132310001
52014030240012231
645021301351321
74366466020222
oct727260366401
9201256126314
1063262813441
11249142330a3
1210316708541
135c7271c429
1430c1d4d249
1519a3e0c4b1
hexebac1ed01

63262813441 has 9 divisors (see below), whose sum is σ = 63946392201. Its totient is φ = 62586473472.

The previous prime is 63262813433. The next prime is 63262813487. The reversal of 63262813441 is 14431826236.

The square root of 63262813441 is 251521.

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

63262813441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 181467841 + 63081345600 = 13471^2 + 251160^2 .

It is not a de Polignac number, because 63262813441 - 23 = 63262813433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 63262813394 and 63262813403.

It is not an unprimeable number, because it can be changed into a prime (63262873441) 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, 24396241 + ... + 24398833.

It is an arithmetic number, because the mean of its divisors is an integer number (7105154689).

Almost surely, 263262813441 is an apocalyptic number.

63262813441 is the 251521-st square number.

63262813441 is the 125761-st centered octagonal number.

It is an amenable number.

63262813441 is a deficient number, since it is larger than the sum of its proper divisors (683578760).

63262813441 is an frugal number, since it uses more digits than its factorization.

63262813441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5380 (or 2690 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The spelling of 63262813441 in words is "sixty-three billion, two hundred sixty-two million, eight hundred thirteen thousand, four hundred forty-one".

Divisors: 1 97 2593 9409 251521 6723649 24397537 652193953 63262813441