Search a number
-
+
13313369670588 = 223213487449313001
BaseRepresentation
bin1100000110111100001010…
…1010111000001110111100
31202010202010121211012012100
43001233002222320032330
53221111240113424323
644152024432105100
72542600466013351
oct301570252701674
952122117735170
1013313369670588
114273194111429
1215b0278695190
137575a363b3c0
14340528a40628
151814a0969943
hexc1bc2ab83bc

13313369670588 has 144 divisors (see below), whose sum is σ = 36327246411456. Its totient is φ = 4086785664000.

The previous prime is 13313369670581. The next prime is 13313369670619. The reversal of 13313369670588 is 88507696331331.

13313369670588 is a `hidden beast` number, since 1 + 3 + 3 + 13 + 36 + 9 + 6 + 7 + 0 + 588 = 666.

13313369670588 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313369670581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1024020088 + ... + 1024033088.

It is an arithmetic number, because the mean of its divisors is an integer number (252272544524).

Almost surely, 213313369670588 is an apocalyptic number.

13313369670588 is a gapful number since it is divisible by the number (18) 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 13313369670588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18163623205728).

13313369670588 is an abundant number, since it is smaller than the sum of its proper divisors (23013876740868).

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

13313369670588 is a wasteful number, since it uses less digits than its factorization.

13313369670588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18004 (or 17999 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 13313369670588 in words is "thirteen trillion, three hundred thirteen billion, three hundred sixty-nine million, six hundred seventy thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 487 974 1461 1948 2922 4383 4493 5844 6331 8766 8986 12662 13001 13479 17532 17972 18993 25324 26002 26958 37986 39003 40437 52004 53916 56979 58409 75972 78006 80874 113958 116818 117009 156012 161748 169013 175227 227916 233636 234018 338026 350454 468036 507039 525681 676052 700908 1014078 1051362 1521117 2028156 2102724 2188091 3042234 4376182 6084468 6331487 6564273 8752364 12662974 13128546 18994461 19692819 25325948 26257092 28445183 37988922 39385638 56890366 56983383 58413493 75977844 78771276 82309331 85335549 113780732 113966766 116826986 164618662 170671098 175240479 227933532 233653972 246927993 256006647 329237324 341342196 350480958 493855986 512013294 525721437 700961916 740783979 759375409 987711972 1024026588 1051442874 1481567958 1518750818 2102885748 2278126227 2963135916 3037501636 4556252454 6834378681 9112504908 13668757362 27337514724 28447371091 56894742182 85342113273 113789484364 170684226546 256026339819 341368453092 369815824183 512052679638 739631648366 1024105359276 1109447472549 1479263296732 2218894945098 3328342417647 4437789890196 6656684835294 13313369670588