Search a number
-
+
13249899117 = 3271329571977
BaseRepresentation
bin11000101011100000…
…10110101001101101
31021012102000121121100
430111300112221231
5204113433232432
610030435153313
7646226166330
oct142560265155
937172017540
1013249899117
11568a24a354
122699445839
1313320aa4c0
148d9a1a617
1552836607c
hex315c16a6d

13249899117 has 96 divisors (see below), whose sum is σ = 24435290880. Its totient is φ = 6729246720.

The previous prime is 13249899101. The next prime is 13249899139. The reversal of 13249899117 is 71199894231.

13249899117 is a `hidden beast` number, since 1 + 32 + 498 + 9 + 9 + 117 = 666.

13249899117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13249899117 - 24 = 13249899101 is a prime.

It is a super-2 number, since 2×132498991172 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13249899517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13561333 + ... + 13562309.

It is an arithmetic number, because the mean of its divisors is an integer number (254534280).

Almost surely, 213249899117 is an apocalyptic number.

It is an amenable number.

13249899117 is a deficient number, since it is larger than the sum of its proper divisors (11185391763).

13249899117 is a wasteful number, since it uses less digits than its factorization.

13249899117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1600 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The spelling of 13249899117 in words is "thirteen billion, two hundred forty-nine million, eight hundred ninety-nine thousand, one hundred seventeen".

Divisors: 1 3 7 9 13 21 29 39 63 87 91 117 203 261 273 377 571 609 819 977 1131 1713 1827 2639 2931 3393 3997 5139 6839 7423 7917 8793 11991 12701 16559 20517 22269 23751 28333 35973 38103 49677 51961 61551 66807 84999 88907 114309 115913 149031 155883 198331 215267 254997 266721 347739 368329 467649 557867 594993 645801 800163 1043217 1104987 1506869 1673601 1784979 1937403 2578303 3314961 3905069 4520607 5020803 7252271 7734909 11715207 13561821 16178143 21756813 23204727 35145621 48534429 50765897 65270439 113247001 145603287 152297691 210315859 339741003 456893073 630947577 1019223009 1472211013 1892842731 4416633039 13249899117