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31202749449 = 3419210332
BaseRepresentation
bin11101000011110101…
…000010110000001001
32222112120110220110000
4131003311002300021
51002400400440244
622200115113213
72153142665004
oct350365026011
988476426400
1031202749449
1112262158543
1260698a2809
132c3360cb71
14172009253b
15c29509169
hex743d42c09

31202749449 has 45 divisors (see below), whose sum is σ = 49241538423. Its totient is φ = 19687922208.

The previous prime is 31202749447. The next prime is 31202749451. The reversal of 31202749449 is 94494720213.

The square root of 31202749449 is 176643.

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

It is an interprime number because it is at equal distance from previous prime (31202749447) and next prime (31202749451).

It can be written as a sum of positive squares in only one way, i.e., 30124809225 + 1077940224 = 173565^2 + 32832^2 .

It is not a de Polignac number, because 31202749449 - 21 = 31202749447 is a prime.

It is a super-2 number, since 2×312027494492 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31202749447) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 30205437 + ... + 30206469.

Almost surely, 231202749449 is an apocalyptic number.

31202749449 is the 176643-rd square number.

31202749449 is the 88322-nd centered octagonal number.

It is an amenable number.

31202749449 is a deficient number, since it is larger than the sum of its proper divisors (18038788974).

31202749449 is an frugal number, since it uses more digits than its factorization.

31202749449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 31202749449 in words is "thirty-one billion, two hundred two million, seven hundred forty-nine thousand, four hundred forty-nine".

Divisors: 1 3 9 19 27 57 81 171 361 513 1033 1083 1539 3099 3249 9297 9747 19627 27891 29241 58881 83673 176643 372913 529929 1067089 1118739 1589787 3201267 3356217 9603801 10068651 20274691 28811403 30205953 60824073 86434209 182472219 385219129 547416657 1155657387 1642249971 3466972161 10400916483 31202749449