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2937149093 is a prime number
BaseRepresentation
bin1010111100010001…
…0101011010100101
321120200202122002202
42233010111122211
522003402232333
61203241144245
7132533232614
oct25704253245
97520678082
102937149093
111277a4264a
1269b78b085
1337a679a58
141dc12587b
15122ccb5e8
hexaf1156a5

2937149093 has 2 divisors, whose sum is σ = 2937149094. Its totient is φ = 2937149092.

The previous prime is 2937149069. The next prime is 2937149107. The reversal of 2937149093 is 3909417392.

It is a happy number.

2937149093 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., 2445994849 + 491154244 = 49457^2 + 22162^2 .

It is a cyclic number.

It is not a de Polignac number, because 2937149093 - 212 = 2937144997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2937149063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1468574546 + 1468574547.

It is an arithmetic number, because the mean of its divisors is an integer number (1468574547).

Almost surely, 22937149093 is an apocalyptic number.

It is an amenable number.

2937149093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2937149093 is an equidigital number, since it uses as much as digits as its factorization.

2937149093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 367416, while the sum is 47.

The square root of 2937149093 is about 54195.4711484272. The cubic root of 2937149093 is about 1432.1065490679.

The spelling of 2937149093 in words is "two billion, nine hundred thirty-seven million, one hundred forty-nine thousand, ninety-three".