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11790735697 = 132931275161
BaseRepresentation
bin10101111101100100…
…00101100101010001
31010102201100102200201
422332302011211101
5143121412020242
65225552215201
7565120412506
oct127662054521
933381312621
1011790735697
115000621274
12235083a501
13115b9b57b0
147dbd074ad
154901d64b7
hex2bec85951

11790735697 has 8 divisors (see below), whose sum is σ = 13135568040. Its totient is φ = 10508453760.

The previous prime is 11790735667. The next prime is 11790735727. The reversal of 11790735697 is 79653709711.

11790735697 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11790735667) and next prime (11790735727).

It can be written as a sum of positive squares in 4 ways, for example, as 29550096 + 11761185601 = 5436^2 + 108449^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11790735697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11790735667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15637204 + ... + 15637957.

It is an arithmetic number, because the mean of its divisors is an integer number (1641946005).

Almost surely, 211790735697 is an apocalyptic number.

It is an amenable number.

11790735697 is a deficient number, since it is larger than the sum of its proper divisors (1344832343).

11790735697 is a wasteful number, since it uses less digits than its factorization.

11790735697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31275203.

The product of its (nonzero) digits is 2500470, while the sum is 55.

The spelling of 11790735697 in words is "eleven billion, seven hundred ninety million, seven hundred thirty-five thousand, six hundred ninety-seven".

Divisors: 1 13 29 377 31275161 406577093 906979669 11790735697