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58827808117 = 131761271537
BaseRepresentation
bin110110110010011010…
…010001110101110101
312121211210220021210001
4312302122101311311
51430434404324432
643005232031301
74151544055441
oct666232216565
9177753807701
1058827808117
1122a48844a41
12b499392531
135716951120
142bc0d21821
1517e48ab9e7
hexdb2691d75

58827808117 has 24 divisors (see below), whose sum is σ = 68198320008. Its totient is φ = 50269777920.

The previous prime is 58827808073. The next prime is 58827808141. The reversal of 58827808117 is 71180872885.

It can be written as a sum of positive squares in 12 ways, for example, as 46736386596 + 12091421521 = 216186^2 + 109961^2 .

It is not a de Polignac number, because 58827808117 - 27 = 58827807989 is a prime.

It is a super-2 number, since 2×588278081172 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58827808517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 786573 + ... + 858109.

It is an arithmetic number, because the mean of its divisors is an integer number (2841596667).

Almost surely, 258827808117 is an apocalyptic number.

It is an amenable number.

58827808117 is a deficient number, since it is larger than the sum of its proper divisors (9370511891).

58827808117 is a wasteful number, since it uses less digits than its factorization.

58827808117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71689 (or 71628 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 55.

The spelling of 58827808117 in words is "fifty-eight billion, eight hundred twenty-seven million, eight hundred eight thousand, one hundred seventeen".

Divisors: 1 13 17 61 221 793 1037 3721 13481 48373 63257 71537 822341 929981 1216129 4363757 15809677 56728841 74183869 266189177 964390297 3460459301 4525216009 58827808117