Search a number
-
+
153341781033 = 37436714711723
BaseRepresentation
bin1000111011001111100…
…0011110010000101001
3112122210122121120122110
42032303320132100221
510003020443443113
6154235542312533
714035644430050
oct2166370362051
9478718546573
10153341781033
115a03948a761
1225875a28749
13115c99ccb9c
1475c9525397
153ec7186bc3
hex23b3e1e429

153341781033 has 64 divisors (see below), whose sum is σ = 242972229632. Its totient is φ = 84202493760.

The previous prime is 153341781031. The next prime is 153341781041. The reversal of 153341781033 is 330187143351.

It is a happy number.

153341781033 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 153341781033 - 21 = 153341781031 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 153341780982 and 153341781000.

It is not an unprimeable number, because it can be changed into a prime (153341781031) 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 63 ways as a sum of consecutive naturals, for example, 88996110 + ... + 88997832.

It is an arithmetic number, because the mean of its divisors is an integer number (3796441088).

Almost surely, 2153341781033 is an apocalyptic number.

It is an amenable number.

153341781033 is a deficient number, since it is larger than the sum of its proper divisors (89630448599).

153341781033 is a wasteful number, since it uses less digits than its factorization.

153341781033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314.

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 153341781033 in words is "one hundred fifty-three billion, three hundred forty-one million, seven hundred eighty-one thousand, thirty-three".

Divisors: 1 3 7 21 43 67 129 201 301 469 903 1407 1471 1723 2881 4413 5169 8643 10297 12061 20167 30891 36183 60501 63253 74089 98557 115441 189759 222267 295671 346323 442771 518623 689899 808087 1328313 1555869 2069697 2424261 2534533 4237951 4963963 7603599 12713853 14891889 17741731 29665657 34747741 53225193 88996971 104243223 108984919 169813711 326954757 509441133 762894433 1188695977 2288683299 3566087931 7301989573 21905968719 51113927011 153341781033