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10053517527 = 333112011371
BaseRepresentation
bin10010101110011110…
…01000000011010111
3221221122110121101000
421113033020003113
5131042200030102
64341333434343
7504064326504
oct112717100327
927848417330
1010053517527
114299a48579
121b46a9b9b3
13c42b07951
146b52d44ab
153dc93001c
hex2573c80d7

10053517527 has 16 divisors (see below), whose sum is σ = 15374556160. Its totient is φ = 6486139800.

The previous prime is 10053517517. The next prime is 10053517547. The reversal of 10053517527 is 72571535001.

It is a happy number.

10053517527 is a `hidden beast` number, since 100 + 535 + 17 + 5 + 2 + 7 = 666.

10053517527 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10053517527 - 27 = 10053517399 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10053517491 and 10053517500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10053517517) 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 15 ways as a sum of consecutive naturals, for example, 6004849 + ... + 6006522.

It is an arithmetic number, because the mean of its divisors is an integer number (960909760).

Almost surely, 210053517527 is an apocalyptic number.

10053517527 is a deficient number, since it is larger than the sum of its proper divisors (5321038633).

10053517527 is a wasteful number, since it uses less digits than its factorization.

10053517527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12011411 (or 12011405 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The spelling of 10053517527 in words is "ten billion, fifty-three million, five hundred seventeen thousand, five hundred twenty-seven".

Divisors: 1 3 9 27 31 93 279 837 12011371 36034113 108102339 324307017 372352501 1117057503 3351172509 10053517527