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2072613437 is a prime number
BaseRepresentation
bin111101110001001…
…1001001000111101
312100102222200010122
41323202121020331
513221042112222
6541355144325
7102234631526
oct17342311075
95312880118
102072613437
11973a33174
1249a1450a5
1327051c5ab
1415939b84d
15c1e57a42
hex7b89923d

2072613437 has 2 divisors, whose sum is σ = 2072613438. Its totient is φ = 2072613436.

The previous prime is 2072613397. The next prime is 2072613449. The reversal of 2072613437 is 7343162702.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1695710041 + 376903396 = 41179^2 + 19414^2 .

It is a cyclic number.

It is not a de Polignac number, because 2072613437 - 210 = 2072612413 is a prime.

It is a super-3 number, since 3×20726134373 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2072613397 and 2072613406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2072613337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1036306718 + 1036306719.

It is an arithmetic number, because the mean of its divisors is an integer number (1036306719).

Almost surely, 22072613437 is an apocalyptic number.

It is an amenable number.

2072613437 is a deficient number, since it is larger than the sum of its proper divisors (1).

2072613437 is an equidigital number, since it uses as much as digits as its factorization.

2072613437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 2072613437 is about 45525.9644269070. The cubic root of 2072613437 is about 1274.9880172141.

The spelling of 2072613437 in words is "two billion, seventy-two million, six hundred thirteen thousand, four hundred thirty-seven".