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76541741641 = 892853730137
BaseRepresentation
bin100011101001000111…
…1100100101001001001
321022120022210100101001
41013102033210221021
52223224141213031
655055055055001
75346530032501
oct1072217445111
9238508710331
1076541741641
112a5088aa422
1212a01811461
1372aa8219b1
1439c1764a01
151eceaa9861
hex11d23e4a49

76541741641 has 8 divisors (see below), whose sum is σ = 77407041960. Its totient is φ = 75676558848.

The previous prime is 76541741593. The next prime is 76541741651. The reversal of 76541741641 is 14614714567.

It can be written as a sum of positive squares in 4 ways, for example, as 4135004416 + 72406737225 = 64304^2 + 269085^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 76541741641 - 219 = 76541217353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 76541741591 and 76541741600.

It is not an unprimeable number, because it can be changed into a prime (76541741651) 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 7 ways as a sum of consecutive naturals, for example, 2524725 + ... + 2554861.

It is an arithmetic number, because the mean of its divisors is an integer number (9675880245).

Almost surely, 276541741641 is an apocalyptic number.

It is an amenable number.

76541741641 is a deficient number, since it is larger than the sum of its proper divisors (865300319).

76541741641 is a wasteful number, since it uses less digits than its factorization.

76541741641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58763.

The product of its digits is 564480, while the sum is 46.

The spelling of 76541741641 in words is "seventy-six billion, five hundred forty-one million, seven hundred forty-one thousand, six hundred forty-one".

Divisors: 1 89 28537 30137 2539793 2682193 860019569 76541741641