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37742675373 = 3213322586969
BaseRepresentation
bin100011001001101000…
…111000010110101101
310121102100111120020200
4203021220320112231
51104244111102443
625201100304113
72504204306304
oct431150702655
9117370446220
1037742675373
11150088356a7
127393b42039
1337364cc910
141b8088b43b
15ead744dd3
hex8c9a385ad

37742675373 has 12 divisors (see below), whose sum is σ = 58710828540. Its totient is φ = 23226261696.

The previous prime is 37742675329. The next prime is 37742675387. The reversal of 37742675373 is 37357624773.

37742675373 is a `hidden beast` number, since 3 + 7 + 7 + 4 + 267 + 5 + 373 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19639780164 + 18102895209 = 140142^2 + 134547^2 .

It is not a de Polignac number, because 37742675373 - 222 = 37738481069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37742676373) 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 in 11 ways as a sum of consecutive naturals, for example, 161293368 + ... + 161293601.

It is an arithmetic number, because the mean of its divisors is an integer number (4892569045).

Almost surely, 237742675373 is an apocalyptic number.

It is an amenable number.

37742675373 is a deficient number, since it is larger than the sum of its proper divisors (20968153167).

37742675373 is a wasteful number, since it uses less digits than its factorization.

37742675373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322586988 (or 322586985 counting only the distinct ones).

The product of its digits is 15558480, while the sum is 54.

The spelling of 37742675373 in words is "thirty-seven billion, seven hundred forty-two million, six hundred seventy-five thousand, three hundred seventy-three".

Divisors: 1 3 9 13 39 117 322586969 967760907 2903282721 4193630597 12580891791 37742675373