Search a number
-
+
133326591696 = 243217142938113
BaseRepresentation
bin111110000101011100…
…0100101011011010000
3110202010202111121112200
41330022320211123100
54141023101413241
6141125511323200
712426646221264
oct1741270453320
9422122447480
10133326591696
11515a8426771
1221a0a980500
13c75a13769c
14664b2080a4
153704e1a4b6
hex1f0ae256d0

133326591696 has 120 divisors (see below), whose sum is σ = 395364907080. Its totient is φ = 41797582848.

The previous prime is 133326591647. The next prime is 133326591701. The reversal of 133326591696 is 696195623331.

133326591696 is a `hidden beast` number, since 13 + 3 + 32 + 6 + 591 + 6 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12873171600 + 120453420096 = 113460^2 + 347064^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 3479136 + ... + 3517248.

It is an arithmetic number, because the mean of its divisors is an integer number (3294707559).

Almost surely, 2133326591696 is an apocalyptic number.

133326591696 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 133326591696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197682453540).

133326591696 is an abundant number, since it is smaller than the sum of its proper divisors (262038315384).

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

133326591696 is a wasteful number, since it uses less digits than its factorization.

133326591696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39573 (or 39564 counting only the distinct ones).

The product of its digits is 4723920, while the sum is 54.

The spelling of 133326591696 in words is "one hundred thirty-three billion, three hundred twenty-six million, five hundred ninety-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 1429 2448 2858 4287 5716 8574 11432 12861 17148 22864 24293 25722 34296 38113 48586 51444 68592 72879 76226 97172 102888 114339 145758 152452 194344 205776 218637 228678 291516 304904 343017 388688 437274 457356 583032 609808 647921 686034 874548 914712 1166064 1295842 1372068 1749096 1829424 1943763 2591684 2744136 3498192 3887526 5183368 5488272 5831289 7775052 10366736 11662578 15550104 23325156 31100208 46650312 54463477 93300624 108926954 163390431 217853908 326780862 435707816 490171293 653561724 871415632 925879109 980342586 1307123448 1851758218 1960685172 2614246896 2777637327 3703516436 3921370344 5555274654 7407032872 7842740688 8332911981 11110549308 14814065744 16665823962 22221098616 33331647924 44442197232 66663295848 133326591696