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72147907457 is a prime number
BaseRepresentation
bin100001100110001011…
…0011011001110000001
320220020010000102222122
41003030112123032001
52140224331014312
653051100014025
75132615044343
oct1031426331601
9226203012878
1072147907457
11286636817aa
1211b96231315
136a5a43a302
1436c5db3293
151d23e8cb72
hex10cc59b381

72147907457 has 2 divisors, whose sum is σ = 72147907458. Its totient is φ = 72147907456.

The previous prime is 72147907423. The next prime is 72147907487. The reversal of 72147907457 is 75470974127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53974440976 + 18173466481 = 232324^2 + 134809^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72147907457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72147907399 and 72147907408.

It is not a weakly prime, because it can be changed into another prime (72147907487) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36073953728 + 36073953729.

It is an arithmetic number, because the mean of its divisors is an integer number (36073953729).

Almost surely, 272147907457 is an apocalyptic number.

It is an amenable number.

72147907457 is a deficient number, since it is larger than the sum of its proper divisors (1).

72147907457 is an equidigital number, since it uses as much as digits as its factorization.

72147907457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3457440, while the sum is 53.

The spelling of 72147907457 in words is "seventy-two billion, one hundred forty-seven million, nine hundred seven thousand, four hundred fifty-seven".