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10049937437 is a prime number
BaseRepresentation
bin10010101110000010…
…11110000000011101
3221221101201201102002
421113001132000131
5131040240444222
64341125012045
7504022026101
oct112701360035
927841651362
1010049937437
114297a22821
121b45854025
13c42153257
146b4a41901
153dc474392
hex25705e01d

10049937437 has 2 divisors, whose sum is σ = 10049937438. Its totient is φ = 10049937436.

The previous prime is 10049937407. The next prime is 10049937439. The reversal of 10049937437 is 73473994001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9646971961 + 402965476 = 98219^2 + 20074^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10049937437 is a prime.

It is a super-2 number, since 2×100499374372 (a number of 21 digits) contains 22 as substring.

Together with 10049937439, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10049937391 and 10049937400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10049937439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5024968718 + 5024968719.

It is an arithmetic number, because the mean of its divisors is an integer number (5024968719).

Almost surely, 210049937437 is an apocalyptic number.

It is an amenable number.

10049937437 is a deficient number, since it is larger than the sum of its proper divisors (1).

10049937437 is an equidigital number, since it uses as much as digits as its factorization.

10049937437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 571536, while the sum is 47.

The spelling of 10049937437 in words is "ten billion, forty-nine million, nine hundred thirty-seven thousand, four hundred thirty-seven".