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133532332336 = 24132297323327
BaseRepresentation
bin111110001011100100…
…1011011000100110000
3110202200002122022122101
41330113021123010300
54141433234113321
6141202141150144
712435025045234
oct1742711330460
9422602568571
10133532332336
11516a357a757
1221a6785b354
13c790951900
14666a6825c4
15371800a791
hex1f1725b130

133532332336 has 120 divisors (see below), whose sum is σ = 293794231680. Its totient is φ = 58687469568.

The previous prime is 133532332331. The next prime is 133532332391. The reversal of 133532332336 is 633233235331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133532332295 and 133532332304.

It is not an unprimeable number, because it can be changed into a prime (133532332331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5712705 + ... + 5736031.

It is an arithmetic number, because the mean of its divisors is an integer number (2448285264).

Almost surely, 2133532332336 is an apocalyptic number.

133532332336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133532332336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146897115840).

133532332336 is an abundant number, since it is smaller than the sum of its proper divisors (160261899344).

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

133532332336 is a wasteful number, since it uses less digits than its factorization.

133532332336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23463 (or 23444 counting only the distinct ones).

The product of its digits is 262440, while the sum is 37.

Adding to 133532332336 its reverse (633233235331), we get a palindrome (766765567667).

The spelling of 133532332336 in words is "one hundred thirty-three billion, five hundred thirty-two million, three hundred thirty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 29 52 58 73 104 116 146 169 208 232 292 338 377 464 584 676 754 949 1168 1352 1508 1898 2117 2704 3016 3796 4234 4901 6032 7592 8468 9802 12337 15184 16936 19604 23327 24674 27521 33872 39208 46654 49348 55042 78416 93308 98696 110084 186616 197392 220168 303251 357773 373232 440336 606502 676483 715546 1213004 1352966 1431092 1702871 2426008 2705932 2862184 3405742 3942263 4852016 5411864 5724368 6811484 7884526 8794279 10823728 13622968 15769052 17588558 22137323 27245936 31538104 35177116 44274646 49383259 63076208 70354232 88549292 98766518 114325627 140708464 177098584 197533036 228651254 287785199 354197168 395066072 457302508 575570398 641982367 790132144 914605016 1151140796 1283964734 1829210032 2302281592 2567929468 4604563184 5135858936 8345770771 10271717872 16691541542 33383083084 66766166168 133532332336