Search a number
-
+
133246722764211 = 37223353111644327
BaseRepresentation
bin11110010010111111101011…
…100100111110110110110011
3122110210021002012200120222220
4132102333223210332312303
5114431103242011423321
61151220411022332123
740031521001644200
oct3622775344766663
9573707065616886
10133246722764211
11395026882a1421
1212b40135a2a043
13594715c2022a4
1424c9266534ca7
1510610be04d9c6
hex792feb93edb3

133246722764211 has 48 divisors (see below), whose sum is σ = 216264888036864. Its totient is φ = 72624187485696.

The previous prime is 133246722764209. The next prime is 133246722764263. The reversal of 133246722764211 is 112467227642331.

It is a happy number.

It is not a de Polignac number, because 133246722764211 - 21 = 133246722764209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133246722764201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54628671 + ... + 57015656.

It is an arithmetic number, because the mean of its divisors is an integer number (4505518500768).

Almost surely, 2133246722764211 is an apocalyptic number.

133246722764211 is a deficient number, since it is larger than the sum of its proper divisors (83018165272653).

133246722764211 is a wasteful number, since it uses less digits than its factorization.

133246722764211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111644720 (or 111644713 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 51.

The spelling of 133246722764211 in words is "one hundred thirty-three trillion, two hundred forty-six billion, seven hundred twenty-two million, seven hundred sixty-four thousand, two hundred eleven".

Divisors: 1 3 7 21 23 49 69 147 161 353 483 1059 1127 2471 3381 7413 8119 17297 24357 51891 56833 170499 397831 1193493 111644327 334932981 781510289 2344530867 2567819521 5470572023 7703458563 16411716069 17974736647 39410447431 53924209941 118231342293 125823156529 275873132017 377469469587 827619396051 906440290913 1931111924119 2719320872739 5793335772357 6345082036391 19035246109173 44415574254737 133246722764211