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23007128677 = 132853762017
BaseRepresentation
bin10101011011010101…
…001110110001100101
32012101101222020021221
4111123111032301211
5334104311104202
614322550340341
71443065236621
oct253325166145
965341866257
1023007128677
119836a19335
12456105a6b1
1322286b6b10
141183826181
158e9c6c037
hex55b54ec65

23007128677 has 8 divisors (see below), whose sum is σ = 24778175576. Its totient is φ = 21236262912.

The previous prime is 23007128657. The next prime is 23007128701. The reversal of 23007128677 is 77682170032.

It can be written as a sum of positive squares in 4 ways, for example, as 2890245121 + 20116883556 = 53761^2 + 141834^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 23007128677 - 231 = 20859645029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23007128657) 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 7 ways as a sum of consecutive naturals, for example, 339973 + ... + 401989.

It is an arithmetic number, because the mean of its divisors is an integer number (3097271947).

Almost surely, 223007128677 is an apocalyptic number.

It is an amenable number.

23007128677 is a deficient number, since it is larger than the sum of its proper divisors (1771046899).

23007128677 is a wasteful number, since it uses less digits than its factorization.

23007128677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90567.

The product of its (nonzero) digits is 197568, while the sum is 43.

The spelling of 23007128677 in words is "twenty-three billion, seven million, one hundred twenty-eight thousand, six hundred seventy-seven".

Divisors: 1 13 28537 62017 370981 806221 1769779129 23007128677