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216375417157 is a prime number
BaseRepresentation
bin1100100110000011111…
…0101101100101000101
3202200111120112001211011
43021200332231211011
512021114101322112
6243222420042221
721426661461664
oct3114076554505
9680446461734
10216375417157
1183845311509
1235b27833371
1317533aba623
14a688c58ddb
155965dc4aa7
hex3260fad945

216375417157 has 2 divisors, whose sum is σ = 216375417158. Its totient is φ = 216375417156.

The previous prime is 216375417107. The next prime is 216375417179. The reversal of 216375417157 is 751714573612.

216375417157 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., 215593991041 + 781426116 = 464321^2 + 27954^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-216375417157 is a prime.

It is a super-2 number, since 2×2163754171572 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 216375417157.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (216375417107) 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, 108187708578 + 108187708579.

It is an arithmetic number, because the mean of its divisors is an integer number (108187708579).

Almost surely, 2216375417157 is an apocalyptic number.

It is an amenable number.

216375417157 is a deficient number, since it is larger than the sum of its proper divisors (1).

216375417157 is an equidigital number, since it uses as much as digits as its factorization.

216375417157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1234800, while the sum is 49.

The spelling of 216375417157 in words is "two hundred sixteen billion, three hundred seventy-five million, four hundred seventeen thousand, one hundred fifty-seven".