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10497705601 = 375319327737
BaseRepresentation
bin10011100011011011…
…00100011010000001
31000002121021200212011
421301231210122001
5132444403034401
64453402132521
7521100011455
oct116155443201
930077250764
1010497705601
1144a7754659
12204b7b1141
13cb3b4b126
147182bc665
15416921451
hex271b64681

10497705601 has 16 divisors (see below), whose sum is σ = 11042164944. Its totient is φ = 9968984064.

The previous prime is 10497705583. The next prime is 10497705607. The reversal of 10497705601 is 10650779401.

It can be written as a sum of positive squares in 8 ways, for example, as 1778814976 + 8718890625 = 42176^2 + 93375^2 .

It is a cyclic number.

It is not a de Polignac number, because 10497705601 - 215 = 10497672833 is a prime.

It is a super-2 number, since 2×104977056012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10497705607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364605 + ... + 392341.

It is an arithmetic number, because the mean of its divisors is an integer number (690135309).

Almost surely, 210497705601 is an apocalyptic number.

It is an amenable number.

10497705601 is a deficient number, since it is larger than the sum of its proper divisors (544459343).

10497705601 is a wasteful number, since it uses less digits than its factorization.

10497705601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28020.

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 10497705601 in words is "ten billion, four hundred ninety-seven million, seven hundred five thousand, six hundred one".

Divisors: 1 37 53 193 1961 7141 10229 27737 378473 1026269 1470061 5353241 54392257 198069917 283721773 10497705601