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41625631037 is a prime number
BaseRepresentation
bin100110110001000101…
…001011100100111101
310222102221222011001102
4212301011023210331
51140222130143122
631042245422445
73002344011614
oct466105134475
9128387864042
1041625631037
1116720646771
12809840aa25
133c04ac0813
14202c45487b
15113959a492
hex9b114b93d

41625631037 has 2 divisors, whose sum is σ = 41625631038. Its totient is φ = 41625631036.

The previous prime is 41625630997. The next prime is 41625631039. The reversal of 41625631037 is 73013652614.

41625631037 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., 40559543236 + 1066087801 = 201394^2 + 32651^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41625631037 is a prime.

It is a super-3 number, since 3×416256310373 (a number of 33 digits) contains 333 as substring.

Together with 41625631039, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41625631039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20812815518 + 20812815519.

It is an arithmetic number, because the mean of its divisors is an integer number (20812815519).

Almost surely, 241625631037 is an apocalyptic number.

It is an amenable number.

41625631037 is a deficient number, since it is larger than the sum of its proper divisors (1).

41625631037 is an equidigital number, since it uses as much as digits as its factorization.

41625631037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 41625631037 in words is "forty-one billion, six hundred twenty-five million, six hundred thirty-one thousand, thirty-seven".