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72834219149 is a prime number
BaseRepresentation
bin100001111010101000…
…0011111110010001101
320221222221102200122012
41003311100133302031
52143131030003044
653243134031005
75155620435146
oct1036520376215
9227887380565
1072834219149
112898602194a
1212148048465
136b396960c3
14374d1c6acd
151d6435959e
hex10f541fc8d

72834219149 has 2 divisors, whose sum is σ = 72834219150. Its totient is φ = 72834219148.

The previous prime is 72834219103. The next prime is 72834219257. The reversal of 72834219149 is 94191243827.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49020174025 + 23814045124 = 221405^2 + 154318^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72834219149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72834219097 and 72834219106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72834219049) 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, 36417109574 + 36417109575.

It is an arithmetic number, because the mean of its divisors is an integer number (36417109575).

Almost surely, 272834219149 is an apocalyptic number.

It is an amenable number.

72834219149 is a deficient number, since it is larger than the sum of its proper divisors (1).

72834219149 is an equidigital number, since it uses as much as digits as its factorization.

72834219149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 870912, while the sum is 50.

The spelling of 72834219149 in words is "seventy-two billion, eight hundred thirty-four million, two hundred nineteen thousand, one hundred forty-nine".