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12535400757 = 311379860629
BaseRepresentation
bin10111010110010101…
…10000100100110101
31012100121120100010010
423223022300210311
5201133030311012
65431513050433
7622432101615
oct135312604465
935317510103
1012535400757
1153529a8140
12251a0b6a19
13124a062bc9
1486cb8aa45
154d577cc3c
hex2eb2b0935

12535400757 has 8 divisors (see below), whose sum is σ = 18233310240. Its totient is φ = 7597212560.

The previous prime is 12535400747. The next prime is 12535400791. The reversal of 12535400757 is 75700453521.

It is a happy number.

12535400757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 12535400757 - 24 = 12535400741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12535400747) 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, 189930282 + ... + 189930347.

It is an arithmetic number, because the mean of its divisors is an integer number (2279163780).

Almost surely, 212535400757 is an apocalyptic number.

It is an amenable number.

12535400757 is a deficient number, since it is larger than the sum of its proper divisors (5697909483).

12535400757 is a wasteful number, since it uses less digits than its factorization.

12535400757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379860643.

The product of its (nonzero) digits is 147000, while the sum is 39.

The spelling of 12535400757 in words is "twelve billion, five hundred thirty-five million, four hundred thousand, seven hundred fifty-seven".

Divisors: 1 3 11 33 379860629 1139581887 4178466919 12535400757