Search a number
-
+
156742067001 = 31331312840343
BaseRepresentation
bin1001000111111010001…
…1100010001100111001
3112222120121212000002210
42101332203202030321
510032001432121001
6200001210245333
714216133405162
oct2217643421471
9488517760083
10156742067001
11605238a0953
1226464726849
1311a1c2c5c10
14782cd68769
154125948dd6
hex247e8e2339

156742067001 has 16 divisors (see below), whose sum is σ = 225784608896. Its totient is φ = 96148480896.

The previous prime is 156742066973. The next prime is 156742067039. The reversal of 156742067001 is 100760247651.

156742067001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 156742067001 - 215 = 156742034233 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (156742067401) 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 in 15 ways as a sum of consecutive naturals, for example, 6407965 + ... + 6432378.

It is an arithmetic number, because the mean of its divisors is an integer number (14111538056).

Almost surely, 2156742067001 is an apocalyptic number.

It is an amenable number.

156742067001 is a deficient number, since it is larger than the sum of its proper divisors (69042541895).

156742067001 is a wasteful number, since it uses less digits than its factorization.

156742067001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12840672.

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 156742067001 in words is "one hundred fifty-six billion, seven hundred forty-two million, sixty-seven thousand, one".

Divisors: 1 3 13 39 313 939 4069 12207 12840343 38521029 166924459 500773377 4019027359 12057082077 52247355667 156742067001