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7666077401 = 269174116369
BaseRepresentation
bin1110010001110111…
…10000111011011001
3201210021002002012122
413020323300323121
5111200003434101
63304410351025
7360654403613
oct71073607331
921707062178
107666077401
113284334464
12159b42b475
139522c8a98
1452a1c3db3
152ed03a51b
hex1c8ef0ed9

7666077401 has 8 divisors (see below), whose sum is σ = 7699465800. Its totient is φ = 7632725760.

The previous prime is 7666077379. The next prime is 7666077431. The reversal of 7666077401 is 1047706667.

It can be written as a sum of positive squares in 4 ways, for example, as 859662400 + 6806415001 = 29320^2 + 82501^2 .

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 7666077401 - 214 = 7666061017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7666077431) 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 7 ways as a sum of consecutive naturals, for example, 460145 + ... + 476513.

It is an arithmetic number, because the mean of its divisors is an integer number (962433225).

Almost surely, 27666077401 is an apocalyptic number.

It is an amenable number.

7666077401 is a deficient number, since it is larger than the sum of its proper divisors (33388399).

7666077401 is a wasteful number, since it uses less digits than its factorization.

7666077401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18379.

The product of its (nonzero) digits is 296352, while the sum is 44.

The square root of 7666077401 is about 87556.1385683494. The cubic root of 7666077401 is about 1971.7767132397.

The spelling of 7666077401 in words is "seven billion, six hundred sixty-six million, seventy-seven thousand, four hundred one".

Divisors: 1 269 1741 16369 468329 4403261 28498429 7666077401