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37000000073 is a prime number
BaseRepresentation
bin100010011101010111…
…110011001001001001
310112111121000202021002
4202131113303021021
51101234000000243
624555250224345
72446615545221
oct423527631111
9115447022232
1037000000073
1114767598763
1272072850b5
13364869b08a
141b0dda5081
15e68442eb8
hex89d5f3249

37000000073 has 2 divisors, whose sum is σ = 37000000074. Its totient is φ = 37000000072.

The previous prime is 37000000067. The next prime is 37000000087.

37000000073 is nontrivially palindromic in base 10.

37000000073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32557510969 + 4442489104 = 180437^2 + 66652^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37000000073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36999999991 and 37000000054.

It is not a weakly prime, because it can be changed into another prime (37000000273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18500000036 + 18500000037.

It is an arithmetic number, because the mean of its divisors is an integer number (18500000037).

Almost surely, 237000000073 is an apocalyptic number.

It is an amenable number.

37000000073 is a deficient number, since it is larger than the sum of its proper divisors (1).

37000000073 is an equidigital number, since it uses as much as digits as its factorization.

37000000073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 441, while the sum is 20.

It can be divided in two parts, 370000000 and 73, that added together give a palindrome (370000073).

The spelling of 37000000073 in words is "thirty-seven billion, seventy-three", and thus it is an aban number and an uban number.