Search a number
-
+
133533550016152 = 231113232503276247
BaseRepresentation
bin11110010111001010110011…
…110100000111011010011000
3122111210200102200202200111021
4132113022303310013122120
5120000303202301004102
61152000244354012224
740061323565236336
oct3627126364073230
9574720380680437
10133533550016152
1139603295854080
1212b87843877074
13596820cc27100
1424d90b5dc0b56
1510687aa036137
hex7972b3d07698

133533550016152 has 96 divisors (see below), whose sum is σ = 295773694836480. Its totient is φ = 56026136350080.

The previous prime is 133533550016107. The next prime is 133533550016171. The reversal of 133533550016152 is 251610055335331.

133533550016152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 133533550016099 and 133533550016108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483246493 + ... + 483522739.

It is an arithmetic number, because the mean of its divisors is an integer number (3080975987880).

Almost surely, 2133533550016152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133533550016152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147886847418240).

133533550016152 is an abundant number, since it is smaller than the sum of its proper divisors (162240144820328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133533550016152 is a wasteful number, since it uses less digits than its factorization.

133533550016152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308793 (or 308776 counting only the distinct ones).

The product of its (nonzero) digits is 607500, while the sum is 43.

The spelling of 133533550016152 in words is "one hundred thirty-three trillion, five hundred thirty-three billion, five hundred fifty million, sixteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 169 286 338 572 676 1144 1352 1859 3718 7436 14872 32503 65006 130012 260024 276247 357533 422539 552494 715066 845078 1104988 1430132 1690156 2209976 2860264 3038717 3380312 3591211 4647929 5493007 6077434 7182422 9295858 10986014 12154868 14364844 18591716 21972028 24309736 28729688 37183432 39503321 43944056 46685743 60423077 79006642 93371486 120846154 158013284 186742972 241692308 316026568 373485944 483384616 513543173 1027086346 2054172692 4108345384 8978856241 17957712482 35915424964 71830849928 98767418651 116725131133 197534837302 233450262266 395069674604 466900524532 790139349208 933801049064 1283976442463 1517426704729 2567952884926 3034853409458 5135905769852 6069706818916 10271811539704 12139413637832 16691693752019 33383387504038 66766775008076 133533550016152