Search a number
-
+
13877119008 = 253248184441
BaseRepresentation
bin11001110110010010…
…00000100000100000
31022211010020200112200
430323021000200200
5211410020302013
610213002453200
71000613364624
oct147311004040
938733220480
1013877119008
1159812a99a5
122833504200
13140201682c
1495904b184
1556345de73
hex33b240820

13877119008 has 36 divisors (see below), whose sum is σ = 39463057998. Its totient is φ = 4625706240.

The previous prime is 13877118991. The next prime is 13877119049. The reversal of 13877119008 is 80091177831.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 13026113424 + 851005584 = 114132^2 + 29172^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24091933 + ... + 24092508.

Almost surely, 213877119008 is an apocalyptic number.

13877119008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13877119008 is an abundant number, since it is smaller than the sum of its proper divisors (25585938990).

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

13877119008 is a wasteful number, since it uses less digits than its factorization.

13877119008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48184457 (or 48184446 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 13877119008 in words is "thirteen billion, eight hundred seventy-seven million, one hundred nineteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 48184441 96368882 144553323 192737764 289106646 385475528 433659969 578213292 770951056 867319938 1156426584 1541902112 1734639876 2312853168 3469279752 4625706336 6938559504 13877119008