Search a number
-
+
133639103380 = 225197910940841
BaseRepresentation
bin111110001110110000…
…0101110001110010100
3110202221112112211222111
41330131200232032110
54142143102302010
6141220513440404
712440462431126
oct1743540561624
9422845484874
10133639103380
1151748876392
1221a97570104
13c7a9ac6343
14667a917216
15372259b58a
hex1f1d82e394

133639103380 has 96 divisors (see below), whose sum is σ = 301904064000. Its totient is φ = 49541207040.

The previous prime is 133639103371. The next prime is 133639103443. The reversal of 133639103380 is 83301936331.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3251760 + ... + 3292600.

It is an arithmetic number, because the mean of its divisors is an integer number (3144834000).

Almost surely, 2133639103380 is an apocalyptic number.

133639103380 is a gapful number since it is divisible by the number (10) 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 133639103380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150952032000).

133639103380 is an abundant number, since it is smaller than the sum of its proper divisors (168264960620).

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

133639103380 is a wasteful number, since it uses less digits than its factorization.

133639103380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41057 (or 41055 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 40.

The spelling of 133639103380 in words is "one hundred thirty-three billion, six hundred thirty-nine million, one hundred three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 79 95 109 158 190 218 316 380 395 436 545 790 1090 1501 1580 2071 2180 3002 4142 6004 7505 8284 8611 10355 15010 17222 20710 30020 34444 40841 41420 43055 81682 86110 163364 163609 172220 204205 327218 408410 654436 775979 816820 818045 1551958 1636090 3103916 3226439 3272180 3879895 4451669 6452878 7759790 8903338 12905756 15519580 16132195 17806676 22258345 32264390 44516690 61302341 64528780 84581711 89033380 122604682 169163422 245209364 306511705 338326844 351681851 422908555 613023410 703363702 845817110 1226046820 1406727404 1691634220 1758409255 3516818510 6681955169 7033637020 13363910338 26727820676 33409775845 66819551690 133639103380