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37900766372141 is a prime number
BaseRepresentation
bin10001001111000011101011…
…01101110110000100101101
311222012021111120111120001002
420213201311231312010231
514431431232142402031
6212335212142130045
710661145215445161
oct1047416555660455
9158167446446032
1037900766372141
11110926966009a2
124301509b80925
13181c0472314ca
1495059a69cca1
1545ad44e37ccb
hex227875b7612d

37900766372141 has 2 divisors, whose sum is σ = 37900766372142. Its totient is φ = 37900766372140.

The previous prime is 37900766372137. The next prime is 37900766372143. The reversal of 37900766372141 is 14127366700973.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30287741764900 + 7613024607241 = 5503430^2 + 2759171^2 .

It is a cyclic number.

It is not a de Polignac number, because 37900766372141 - 22 = 37900766372137 is a prime.

It is a super-2 number, since 2×379007663721412 (a number of 28 digits) contains 22 as substring.

Together with 37900766372143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37900766372143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18950383186070 + 18950383186071.

It is an arithmetic number, because the mean of its divisors is an integer number (18950383186071).

Almost surely, 237900766372141 is an apocalyptic number.

It is an amenable number.

37900766372141 is a deficient number, since it is larger than the sum of its proper divisors (1).

37900766372141 is an equidigital number, since it uses as much as digits as its factorization.

37900766372141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8001504, while the sum is 56.

The spelling of 37900766372141 in words is "thirty-seven trillion, nine hundred billion, seven hundred sixty-six million, three hundred seventy-two thousand, one hundred forty-one".