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401878653629 is a prime number
BaseRepresentation
bin1011101100100011101…
…01011001101010111101
31102102022121120212021212
411312101311121222331
523041021413404004
6504342010134205
741014633123205
oct5662165315275
91372277525255
10401878653629
11145488028702
1265a78421365
132bb879099cb
14156458b1405
15a6c17db96e
hex5d91d59abd

401878653629 has 2 divisors, whose sum is σ = 401878653630. Its totient is φ = 401878653628.

The previous prime is 401878653611. The next prime is 401878653637. The reversal of 401878653629 is 926356878104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 401613712900 + 264940729 = 633730^2 + 16277^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-401878653629 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401878653679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200939326814 + 200939326815.

It is an arithmetic number, because the mean of its divisors is an integer number (200939326815).

It is a 1-persistent number, because it is pandigital, but 2⋅401878653629 = 803757307258 is not.

Almost surely, 2401878653629 is an apocalyptic number.

It is an amenable number.

401878653629 is a deficient number, since it is larger than the sum of its proper divisors (1).

401878653629 is an equidigital number, since it uses as much as digits as its factorization.

401878653629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17418240, while the sum is 59.

The spelling of 401878653629 in words is "four hundred one billion, eight hundred seventy-eight million, six hundred fifty-three thousand, six hundred twenty-nine".