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83785933037 is a prime number
BaseRepresentation
bin100111000001000000…
…1111110000011101101
322000021012000101210002
41032002001332003231
52333043144324122
6102253555154045
76024202452152
oct1160201760355
9260235011702
1083785933037
1132595a7a664
12142a38a5925
137b935b5491
1440ab8c8229
1522a5a5b992
hex138207e0ed

83785933037 has 2 divisors, whose sum is σ = 83785933038. Its totient is φ = 83785933036.

The previous prime is 83785933013. The next prime is 83785933061. The reversal of 83785933037 is 73033958738.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (83785933013) and next prime (83785933061).

It can be written as a sum of positive squares in only one way, i.e., 80213001961 + 3572931076 = 283219^2 + 59774^2 .

It is a cyclic number.

It is not a de Polignac number, because 83785933037 - 218 = 83785670893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83785933097) 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, 41892966518 + 41892966519.

It is an arithmetic number, because the mean of its divisors is an integer number (41892966519).

Almost surely, 283785933037 is an apocalyptic number.

It is an amenable number.

83785933037 is a deficient number, since it is larger than the sum of its proper divisors (1).

83785933037 is an equidigital number, since it uses as much as digits as its factorization.

83785933037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11430720, while the sum is 56.

The spelling of 83785933037 in words is "eighty-three billion, seven hundred eighty-five million, nine hundred thirty-three thousand, thirty-seven".