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64723774001 is a prime number
BaseRepresentation
bin111100010001110101…
…100110101000110001
320012001201012101110212
4330101311212220301
52030023241232001
645422251033505
74450626000365
oct742165465061
9205051171425
1064723774001
11254a3979417
1210663a3b895
1361462c3133
1431bddad2a5
151a3c2e47bb
hexf11d66a31

64723774001 has 2 divisors, whose sum is σ = 64723774002. Its totient is φ = 64723774000.

The previous prime is 64723773979. The next prime is 64723774007. The reversal of 64723774001 is 10047732746.

64723774001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59559914401 + 5163859600 = 244049^2 + 71860^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-64723774001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 64723774001.

It is not a weakly prime, because it can be changed into another prime (64723774007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32361887000 + 32361887001.

It is an arithmetic number, because the mean of its divisors is an integer number (32361887001).

Almost surely, 264723774001 is an apocalyptic number.

It is an amenable number.

64723774001 is a deficient number, since it is larger than the sum of its proper divisors (1).

64723774001 is an equidigital number, since it uses as much as digits as its factorization.

64723774001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 197568, while the sum is 41.

The spelling of 64723774001 in words is "sixty-four billion, seven hundred twenty-three million, seven hundred seventy-four thousand, one".