Search a number
-
+
153073564241 = 1331379835147
BaseRepresentation
bin1000111010001111100…
…1010011101001010001
3112122002221220202101012
42032203321103221101
510001443313023431
6154153201420305
714026206553643
oct2164371235121
9478087822335
10153073564241
1159a11044494
122580003a695
131158627c920
1475a1a66893
153ead85522b
hex23a3e53a51

153073564241 has 8 divisors (see below), whose sum is σ = 170166146304. Its totient is φ = 136740652560.

The previous prime is 153073564213. The next prime is 153073564261. The reversal of 153073564241 is 142465370351.

153073564241 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-153073564241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153073564261) 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 7 ways as a sum of consecutive naturals, for example, 189917171 + ... + 189917976.

It is an arithmetic number, because the mean of its divisors is an integer number (21270768288).

Almost surely, 2153073564241 is an apocalyptic number.

It is an amenable number.

153073564241 is a deficient number, since it is larger than the sum of its proper divisors (17092582063).

153073564241 is a wasteful number, since it uses less digits than its factorization.

153073564241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379835191.

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 153073564241 in words is "one hundred fifty-three billion, seventy-three million, five hundred sixty-four thousand, two hundred forty-one".

Divisors: 1 13 31 403 379835147 4937856911 11774889557 153073564241