Search a number
-
+
1006509559147 = 5371926412721
BaseRepresentation
bin11101010010110001010…
…01010000110101101011
310120012222101022021220021
432221120221100311223
5112442312421343042
62050214544541311
7132501150043411
oct16513051206553
93505871267807
101006509559147
11358949452044
1214309a021837
1373bb4ab56a1
1436a02bb92b1
151b2acea4867
hexea58a50d6b

1006509559147 has 8 divisors (see below), whose sum is σ = 1026926631360. Its totient is φ = 986145313920.

The previous prime is 1006509559103. The next prime is 1006509559217. The reversal of 1006509559147 is 7419559056001.

1006509559147 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1006509559147 is a prime.

It is a super-2 number, since 2×10065095591472 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1006509559094 and 1006509559103.

It is not an unprimeable number, because it can be changed into a prime (1006509559247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13168254 + ... + 13244467.

It is an arithmetic number, because the mean of its divisors is an integer number (128365828920).

Almost surely, 21006509559147 is an apocalyptic number.

1006509559147 is a deficient number, since it is larger than the sum of its proper divisors (20417072213).

1006509559147 is an equidigital number, since it uses as much as digits as its factorization.

1006509559147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26413493.

The product of its (nonzero) digits is 1701000, while the sum is 52.

The spelling of 1006509559147 in words is "one trillion, six billion, five hundred nine million, five hundred fifty-nine thousand, one hundred forty-seven".

Divisors: 1 53 719 38107 26412721 1399874213 18990746399 1006509559147