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37148066020 = 22513142877177
BaseRepresentation
bin100010100110001100…
…101000000011100100
310112212220122021120001
4202212030220003210
51102034401103040
625022055551044
72453364231322
oct424614500344
9115786567501
1037148066020
111483312990a
12724898b484
133670270870
141b25908d12
15e7643e59a
hex8a63280e4

37148066020 has 24 divisors (see below), whose sum is σ = 84011780664. Its totient is φ = 13716208896.

The previous prime is 37148066017. The next prime is 37148066023. The reversal of 37148066020 is 2066084173.

It is an interprime number because it is at equal distance from previous prime (37148066017) and next prime (37148066023).

It can be written as a sum of positive squares in 4 ways, for example, as 29419776 + 37118646244 = 5424^2 + 192662^2 .

It is not an unprimeable number, because it can be changed into a prime (37148066023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71438329 + ... + 71438848.

It is an arithmetic number, because the mean of its divisors is an integer number (3500490861).

Almost surely, 237148066020 is an apocalyptic number.

It is an amenable number.

37148066020 is an abundant number, since it is smaller than the sum of its proper divisors (46863714644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37148066020 is a wasteful number, since it uses less digits than its factorization.

37148066020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142877199 (or 142877197 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 37148066020 in words is "thirty-seven billion, one hundred forty-eight million, sixty-six thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 142877177 285754354 571508708 714385885 1428771770 1857403301 2857543540 3714806602 7429613204 9287016505 18574033010 37148066020