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53722431961 = 11219211092
BaseRepresentation
bin110010000010000110…
…110100000111011001
312010200000020022022021
4302002012310013121
51340010420310321
640402454054441
73611202065032
oct620206640731
9163600208267
1053722431961
1120868a04300
12a4b364a421
1350b20189a3
142858c6da89
1515e658c941
hexc821b41d9

53722431961 has 27 divisors (see below), whose sum is σ = 62378006943. Its totient is φ = 46226402640.

The previous prime is 53722431947. The next prime is 53722431989. The reversal of 53722431961 is 16913422735.

The square root of 53722431961 is 231781.

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., 868421961 + 52854010000 = 29469^2 + 229900^2 .

It is not a de Polignac number, because 53722431961 - 25 = 53722431929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53722431911) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48441675 + ... + 48442783.

Almost surely, 253722431961 is an apocalyptic number.

53722431961 is the 231781-st square number.

53722431961 is the 115891-st centered octagonal number.

It is an amenable number.

53722431961 is a deficient number, since it is larger than the sum of its proper divisors (8655574982).

53722431961 is an equidigital number, since it uses as much as digits as its factorization.

53722431961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 1139 counting only the distinct ones).

The product of its digits is 272160, while the sum is 43.

The spelling of 53722431961 in words is "fifty-three billion, seven hundred twenty-two million, four hundred thirty-one thousand, nine hundred sixty-one".

Divisors: 1 11 19 121 209 361 1109 2299 3971 12199 21071 43681 134189 231781 400349 1229881 2549591 4403839 13528691 23367739 48442229 148815601 257045129 443987041 2827496419 4883857451 53722431961