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97433252449 = 13418472
BaseRepresentation
bin101101010111101111…
…0010111001001100001
3100022111021212001112121
41122233132113021201
53044020403034244
6112432112424241
710016325660331
oct1325736271141
9308437761477
1097433252449
1138359592735
1216a72248081
139259b10000
144a041d70c1
152803c26c84
hex16af797261

97433252449 has 15 divisors (see below), whose sum is σ = 105609584837. Its totient is φ = 89889692568.

The previous prime is 97433252417. The next prime is 97433252453. The reversal of 97433252449 is 94425233479.

It is a happy number.

The square root of 97433252449 is 312143.

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

It can be written as a sum of positive squares in 2 ways, for example, as 48308962849 + 49124289600 = 219793^2 + 221640^2 .

It is not a de Polignac number, because 97433252449 - 25 = 97433252417 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 97433252396 and 97433252405.

It is not an unprimeable number, because it can be changed into a prime (97433252479) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 52751244 + ... + 52753090.

Almost surely, 297433252449 is an apocalyptic number.

97433252449 is the 312143-rd square number.

97433252449 is the 156072-nd centered octagonal number.

It is an amenable number.

97433252449 is a deficient number, since it is larger than the sum of its proper divisors (8176332388).

97433252449 is an frugal number, since it uses more digits than its factorization.

97433252449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 1860 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 52.

The spelling of 97433252449 in words is "ninety-seven billion, four hundred thirty-three million, two hundred fifty-two thousand, four hundred forty-nine".

Divisors: 1 13 169 1847 2197 24011 28561 312143 3411409 4057859 44348317 52752167 576528121 7494865573 97433252449