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37261388141 is a prime number
BaseRepresentation
bin100010101100111100…
…111010100101101101
310120011210212122021122
4202230330322211231
51102302403410031
625041224510325
72456241400445
oct425474724555
9116153778248
1037261388141
111489109a45a
12727a91b3a5
13368a89a083
141b369a7125
15e8137647b
hex8acf3a96d

37261388141 has 2 divisors, whose sum is σ = 37261388142. Its totient is φ = 37261388140.

The previous prime is 37261388123. The next prime is 37261388179. The reversal of 37261388141 is 14188316273.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37229702500 + 31685641 = 192950^2 + 5629^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37261388141 is a prime.

It is a super-2 number, since 2×372613881412 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 37261388092 and 37261388101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37261388111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18630694070 + 18630694071.

It is an arithmetic number, because the mean of its divisors is an integer number (18630694071).

Almost surely, 237261388141 is an apocalyptic number.

It is an amenable number.

37261388141 is a deficient number, since it is larger than the sum of its proper divisors (1).

37261388141 is an equidigital number, since it uses as much as digits as its factorization.

37261388141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 193536, while the sum is 44.

The spelling of 37261388141 in words is "thirty-seven billion, two hundred sixty-one million, three hundred eighty-eight thousand, one hundred forty-one".