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76058307864 = 233271149127941
BaseRepresentation
bin100011011010101101…
…1011010110100011000
321021022122010100220100
41012311123122310120
52221231411322424
654535105255400
75331536643540
oct1066533326430
9237278110810
1076058307864
112a28aa28480
12128a7934560
13723161a0c6
143977482320
151ea2414dc9
hex11b56dad18

76058307864 has 192 divisors, whose sum is σ = 257352526080. Its totient is φ = 19714464000.

The previous prime is 76058307863. The next prime is 76058307971. The reversal of 76058307864 is 46870385067.

It is a self number, because there is not a number n which added to its sum of digits gives 76058307864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76058307863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2708134 + ... + 2736074.

It is an arithmetic number, because the mean of its divisors is an integer number (1340377740).

Almost surely, 276058307864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76058307864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128676263040).

76058307864 is an abundant number, since it is smaller than the sum of its proper divisors (181294218216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76058307864 is a wasteful number, since it uses less digits than its factorization.

76058307864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28462 (or 28455 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 76058307864 in words is "seventy-six billion, fifty-eight million, three hundred seven thousand, eight hundred sixty-four".