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4627953792013 is a prime number
BaseRepresentation
bin100001101011000011110…
…0010101011010000001101
3121101102120001112112010111
41003112013202223100031
51101311022132321023
613502015211040021
7655234003113046
oct103260742532015
917342501475114
104627953792013
1115247822a0912
12628b18440011
1327754cc15576
1411ddcbd858cd
15805b4eb300d
hex435878ab40d

4627953792013 has 2 divisors, whose sum is σ = 4627953792014. Its totient is φ = 4627953792012.

The previous prime is 4627953791987. The next prime is 4627953792019. The reversal of 4627953792013 is 3102973597264.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4175491733604 + 452462058409 = 2043402^2 + 672653^2 .

It is a cyclic number.

It is not a de Polignac number, because 4627953792013 - 213 = 4627953783821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4627953792019) 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 as a sum of consecutive naturals, namely, 2313976896006 + 2313976896007.

It is an arithmetic number, because the mean of its divisors is an integer number (2313976896007).

Almost surely, 24627953792013 is an apocalyptic number.

It is an amenable number.

4627953792013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4627953792013 is an equidigital number, since it uses as much as digits as its factorization.

4627953792013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17146080, while the sum is 58.

The spelling of 4627953792013 in words is "four trillion, six hundred twenty-seven billion, nine hundred fifty-three million, seven hundred ninety-two thousand, thirteen".