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10508507971 = 132832856349
BaseRepresentation
bin10011100100101101…
…10001101101000011
31000010100121111220221
421302112301231003
5133010134223341
64454425443511
7521260562323
oct116226615503
930110544827
1010508507971
114502862635
122053340597
13cb6160c70
147198d1283
15417856ed1
hex2725b1b43

10508507971 has 8 divisors (see below), whose sum is σ = 11356847600. Its totient is φ = 9665881632.

The previous prime is 10508507957. The next prime is 10508507983. The reversal of 10508507971 is 17970580501.

10508507971 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 a de Polignac number, because none of the positive numbers 2k-10508507971 is a prime.

It is a super-5 number, since 5×105085079715 (a number of 51 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10508507921) 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, 1424496 + ... + 1431853.

It is an arithmetic number, because the mean of its divisors is an integer number (1419605950).

Almost surely, 210508507971 is an apocalyptic number.

10508507971 is a deficient number, since it is larger than the sum of its proper divisors (848339629).

10508507971 is a wasteful number, since it uses less digits than its factorization.

10508507971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856645.

The product of its (nonzero) digits is 88200, while the sum is 43.

The spelling of 10508507971 in words is "ten billion, five hundred eight million, five hundred seven thousand, nine hundred seventy-one".

Divisors: 1 13 283 3679 2856349 37132537 808346767 10508507971