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76002750670014 = 23372192599713903
BaseRepresentation
bin10001010001111111000100…
…111101001010010010111110
3100222002210101101000211121000
4101101333010331022102332
534430212113132420024
6425351103122551130
722003006004325300
oct2121770475122276
9328083341024530
1076002750670014
1122242649402683
128635a135084a6
13335404abb159c
1414aa7a4ab7970
158bc0151c1cc9
hex451fc4f4a4be

76002750670014 has 576 divisors, whose sum is σ = 213058155340800. Its totient is φ = 20013562985472.

The previous prime is 76002750670001. The next prime is 76002750670031. The reversal of 76002750670014 is 41007605720067.

76002750670014 is a `hidden beast` number, since 7 + 60 + 0 + 2 + 7 + 506 + 70 + 0 + 14 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5466636987 + ... + 5466650889.

It is an arithmetic number, because the mean of its divisors is an integer number (369892630800).

Almost surely, 276002750670014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76002750670014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106529077670400).

76002750670014 is an abundant number, since it is smaller than the sum of its proper divisors (137055404670786).

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

76002750670014 is a wasteful number, since it uses less digits than its factorization.

76002750670014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14122 (or 14090 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 76002750670014 in words is "seventy-six trillion, two billion, seven hundred fifty million, six hundred seventy thousand, fourteen".