Base | Representation |
---|---|
bin | 100010011110001110… |
… | …010101111111001000 |
3 | 10112112120221012002222 |
4 | 202132032111333020 |
5 | 1101301130023233 |
6 | 25000520513212 |
7 | 2450151226622 |
oct | 423616257710 |
9 | 115476835088 |
10 | 37014298568 |
11 | 147746743a5 |
12 | 721001b808 |
13 | 364b636320 |
14 | 1b11c47c12 |
15 | e69819898 |
hex | 89e395fc8 |
37014298568 has 64 divisors (see below), whose sum is σ = 75776420160. Its totient is φ = 16848158976.
The previous prime is 37014298553. The next prime is 37014298571. The reversal of 37014298568 is 86589241073.
It is an unprimeable number.
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 in 15 ways as a sum of consecutive naturals, for example, 2518730 + ... + 2533382.
It is an arithmetic number, because the mean of its divisors is an integer number (1184006565).
It is a 2-persistent number, because it is pandigital, and so is 2⋅37014298568 = 74028597136, but 3⋅37014298568 = 111042895704 is not.
Almost surely, 237014298568 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 37014298568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37888210080).
37014298568 is an abundant number, since it is smaller than the sum of its proper divisors (38762121592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37014298568 is a wasteful number, since it uses less digits than its factorization.
With its predecessor (37014298567) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (15002).
37014298568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15006 (or 15002 counting only the distinct ones).
The product of its (nonzero) digits is 2903040, while the sum is 53.
The spelling of 37014298568 in words is "thirty-seven billion, fourteen million, two hundred ninety-eight thousand, five hundred sixty-eight".
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