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37428006073 is a prime number
BaseRepresentation
bin100010110110111000…
…100000110010111001
310120121102101201010011
4202312320200302321
51103123032143243
625105540021521
72463333542143
oct426670406271
9116542351104
1037428006073
1114967151a27
1273066918a1
1336b6266b73
141b50b79c93
15e90cd989d
hex8b6e20cb9

37428006073 has 2 divisors, whose sum is σ = 37428006074. Its totient is φ = 37428006072.

The previous prime is 37428006067. The next prime is 37428006079. The reversal of 37428006073 is 37060082473.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (37428006067) and next prime (37428006079).

It can be written as a sum of positive squares in only one way, i.e., 34287188224 + 3140817849 = 185168^2 + 56043^2 .

It is an emirp because it is prime and its reverse (37060082473) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37428006073 - 25 = 37428006041 is a prime.

It is not a weakly prime, because it can be changed into another prime (37428006079) 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, 18714003036 + 18714003037.

It is an arithmetic number, because the mean of its divisors is an integer number (18714003037).

Almost surely, 237428006073 is an apocalyptic number.

It is an amenable number.

37428006073 is a deficient number, since it is larger than the sum of its proper divisors (1).

37428006073 is an equidigital number, since it uses as much as digits as its factorization.

37428006073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 37428006073 in words is "thirty-seven billion, four hundred twenty-eight million, six thousand, seventy-three".