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11304756289 = 238310095869
BaseRepresentation
bin10101000011101000…
…01110010001000001
31002011211220010021101
422201310032101001
5141123004200124
65105432054401
7550066562101
oct124164162101
932154803241
1011304756289
1148812707a2
122235b34401
1310b20cc308
14793561201
154626dc644
hex2a1d0e441

11304756289 has 16 divisors (see below), whose sum is σ = 11952259200. Its totient is φ = 10670558976.

The previous prime is 11304756257. The next prime is 11304756293. The reversal of 11304756289 is 98265740311.

It is a cyclic number.

It is not a de Polignac number, because 11304756289 - 25 = 11304756257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11304756689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1923247 + ... + 1929115.

It is an arithmetic number, because the mean of its divisors is an integer number (747016200).

It is a 1-persistent number, because it is pandigital, but 2⋅11304756289 = 22609512578 is not.

Almost surely, 211304756289 is an apocalyptic number.

It is an amenable number.

11304756289 is a deficient number, since it is larger than the sum of its proper divisors (647502911).

11304756289 is a wasteful number, since it uses less digits than its factorization.

11304756289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6984.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 11304756289 in words is "eleven billion, three hundred four million, seven hundred fifty-six thousand, two hundred eighty-nine".

Divisors: 1 23 83 1009 1909 5869 23207 83747 134987 487127 1926181 5921821 11203921 136201883 491511143 11304756289