Search a number
-
+
13502006055504 = 24355581622243
BaseRepresentation
bin1100010001111010111001…
…0001100101001001010000
31202210210001000110102100000
43010132232101211021100
53232204102022234004
644414422544330000
72562326203563261
oct304365621451120
952723030412300
1013502006055504
1143361944703aa
121620942613900
1376c3065c0885
1434970183c968
15186341476c39
hexc47ae465250

13502006055504 has 120 divisors (see below), whose sum is σ = 39193462034272. Its totient is φ = 4499855026560.

The previous prime is 13502006055481. The next prime is 13502006055523. The reversal of 13502006055504 is 40555060020531.

13502006055504 is a `hidden beast` number, since 1 + 350 + 200 + 6 + 0 + 55 + 50 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 21387807 + ... + 22010049.

Almost surely, 213502006055504 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 13502006055504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19596731017136).

13502006055504 is an abundant number, since it is smaller than the sum of its proper divisors (25691455978768).

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

13502006055504 is an equidigital number, since it uses as much as digits as its factorization.

13502006055504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627847 (or 627829 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 13502006055504 in words is "thirteen trillion, five hundred two billion, six million, fifty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 5581 11162 16743 22324 33486 44648 50229 66972 89296 100458 133944 150687 200916 267888 301374 401832 452061 602748 622243 803664 904122 1205496 1244486 1356183 1808244 1866729 2410992 2488972 2712366 3616488 3733458 4977944 5424732 5600187 7232976 7466916 9955888 10849464 11200374 14933832 16800561 21698928 22400748 29867664 33601122 44801496 50401683 67202244 89602992 100803366 134404488 151205049 201606732 268808976 302410098 403213464 604820196 806426928 1209640392 2419280784 3472738183 6945476366 10418214549 13890952732 20836429098 27781905464 31254643647 41672858196 55563810928 62509287294 83345716392 93763930941 125018574588 166691432784 187527861882 250037149176 281291792823 375055723764 500074298352 562583585646 750111447528 843875378469 1125167171292 1500222895056 1687750756938 2250334342584 3375501513876 4500668685168 6751003027752 13502006055504