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76054045067 = 71121367103091
BaseRepresentation
bin100011011010100101…
…1001010000110001011
321021022100002210102222
41012311023022012023
52221224313420232
654534434044255
75331455500550
oct1066513120613
9237270083388
1076054045067
112a288586800
12128a641968b
137230786a40
143976a92a27
151ea1d71d12
hex11b52ca18b

76054045067 has 48 divisors (see below), whose sum is σ = 104424773376. Its totient is φ = 53887204800.

The previous prime is 76054045051. The next prime is 76054045079.

76054045067 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76054045067 - 24 = 76054045051 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76054045667) 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 47 ways as a sum of consecutive naturals, for example, 686192 + ... + 789282.

It is an arithmetic number, because the mean of its divisors is an integer number (2175516112).

Almost surely, 276054045067 is an apocalyptic number.

76054045067 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

76054045067 is a deficient number, since it is larger than the sum of its proper divisors (28370728309).

76054045067 is a wasteful number, since it uses less digits than its factorization.

76054045067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103200 (or 103189 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

The spelling of 76054045067 in words is "seventy-six billion, fifty-four million, forty-five thousand, sixty-seven".

Divisors: 1 7 11 13 67 77 91 121 143 469 737 847 871 1001 1573 5159 6097 8107 9581 11011 56749 67067 103091 105391 721637 737737 1134001 1340183 6907097 7938007 9381281 12474011 14742013 48349679 75978067 87318077 89792261 103194091 162162143 531846469 628545827 835758737 987714871 1135135001 5850311159 6914004097 10864863581 76054045067