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37125790381 is a prime number
BaseRepresentation
bin100010100100110111…
…101001101010101101
310112211100201120010101
4202210313221222231
51102013200243011
625015542311101
72453004003631
oct424467515255
9115740646111
1037125790381
11148215a4899
127241428491
133668771704
141b2298adc1
15e744de2c1
hex8a4de9aad

37125790381 has 2 divisors, whose sum is σ = 37125790382. Its totient is φ = 37125790380.

The previous prime is 37125790313. The next prime is 37125790393. The reversal of 37125790381 is 18309752173.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29953224900 + 7172565481 = 173070^2 + 84691^2 .

It is a cyclic number.

It is not a de Polignac number, because 37125790381 - 219 = 37125266093 is a prime.

It is a super-2 number, since 2×371257903812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37125796381) 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, 18562895190 + 18562895191.

It is an arithmetic number, because the mean of its divisors is an integer number (18562895191).

Almost surely, 237125790381 is an apocalyptic number.

It is an amenable number.

37125790381 is a deficient number, since it is larger than the sum of its proper divisors (1).

37125790381 is an equidigital number, since it uses as much as digits as its factorization.

37125790381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 37125790381 in words is "thirty-seven billion, one hundred twenty-five million, seven hundred ninety thousand, three hundred eighty-one".