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11527114097 = 291190933377
BaseRepresentation
bin10101011110001000…
…11100110101110001
31002202100022001211202
422233010130311301
5142101420122342
65143454020545
7555436565432
oct125704346561
932670261752
1011527114097
114985834484
1222984a7755
1311191b3c95
147b4cc3489
15476eb1332
hex2af11cd71

11527114097 has 8 divisors (see below), whose sum is σ = 11925959400. Its totient is φ = 11128359424.

The previous prime is 11527114073. The next prime is 11527114111. The reversal of 11527114097 is 79041172511.

It can be written as a sum of positive squares in 4 ways, for example, as 2116368016 + 9410746081 = 46004^2 + 97009^2 .

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-11527114097 is a prime.

It is a super-2 number, since 2×115271140972 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11527114097.

It is not an unprimeable number, because it can be changed into a prime (11527114037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328673 + ... + 362049.

It is an arithmetic number, because the mean of its divisors is an integer number (1490744925).

Almost surely, 211527114097 is an apocalyptic number.

It is an amenable number.

11527114097 is a deficient number, since it is larger than the sum of its proper divisors (398845303).

11527114097 is a wasteful number, since it uses less digits than its factorization.

11527114097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45315.

The product of its (nonzero) digits is 17640, while the sum is 38.

The spelling of 11527114097 in words is "eleven billion, five hundred twenty-seven million, one hundred fourteen thousand, ninety-seven".

Divisors: 1 29 11909 33377 345361 967933 397486693 11527114097