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37972890073 is a prime number
BaseRepresentation
bin100011010111010111…
…000101000111011001
310122000101200200110001
4203113113011013121
51110232024440243
625240002453001
72513001145216
oct432727050731
9118011620401
1037972890073
1115116785388
127439064161
133772105831
141ba3296b0d
15ec3a6ba4d
hex8d75c51d9

37972890073 has 2 divisors, whose sum is σ = 37972890074. Its totient is φ = 37972890072.

The previous prime is 37972889993. The next prime is 37972890079. The reversal of 37972890073 is 37009827973.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34294224969 + 3678665104 = 185187^2 + 60652^2 .

It is a cyclic number.

It is not a de Polignac number, because 37972890073 - 217 = 37972759001 is a prime.

It is a super-2 number, since 2×379728900732 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 37972889996 and 37972890023.

It is not a weakly prime, because it can be changed into another prime (37972890079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18986445036 + 18986445037.

It is an arithmetic number, because the mean of its divisors is an integer number (18986445037).

Almost surely, 237972890073 is an apocalyptic number.

It is an amenable number.

37972890073 is a deficient number, since it is larger than the sum of its proper divisors (1).

37972890073 is an equidigital number, since it uses as much as digits as its factorization.

37972890073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4000752, while the sum is 55.

The spelling of 37972890073 in words is "thirty-seven billion, nine hundred seventy-two million, eight hundred ninety thousand, seventy-three".