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35097399649 = 132144112
BaseRepresentation
bin100000101011111101…
…111101000101100001
310100120222221122010201
4200223331331011201
51033334413242044
624042403025201
72351513655214
oct405375750541
9110528848121
1035097399649
1113980626914
12697606b201
133404466a00
1419ad42177b
15da63be7d4
hex82bf7d161

35097399649 has 9 divisors (see below), whose sum is σ = 38007513939. Its totient is φ = 32395351560.

The previous prime is 35097399647. The next prime is 35097399703. The reversal of 35097399649 is 94699379053.

The square root of 35097399649 is 187343.

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., 5191923025 + 29905476624 = 72055^2 + 172932^2 .

It is not a de Polignac number, because 35097399649 - 21 = 35097399647 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35097399647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2428254 + ... + 2442664.

Almost surely, 235097399649 is an apocalyptic number.

35097399649 is the 187343-rd square number.

35097399649 is the 93672-nd centered octagonal number.

It is an amenable number.

35097399649 is a deficient number, since it is larger than the sum of its proper divisors (2910114290).

35097399649 is an frugal number, since it uses more digits than its factorization.

35097399649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28848 (or 14424 counting only the distinct ones).

The product of its (nonzero) digits is 49601160, while the sum is 64.

Multiplying 35097399649 by its sum of digits (64), we get a square (2246233577536 = 14987442).

The spelling of 35097399649 in words is "thirty-five billion, ninety-seven million, three hundred ninety-nine thousand, six hundred forty-nine".

Divisors: 1 13 169 14411 187343 2435459 207676921 2699799973 35097399649