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3378549114889 = 13231245612
BaseRepresentation
bin110001001010100001001…
…110000100100000001001
3102221222121220012202222121
4301022201032010200021
5420323232033134024
611104030052451241
7466043411433334
oct61124116044011
912858556182877
103378549114889
11109291a995653
12466951319b21
131b6799009900
14b974621761b
155cd3cd298e4
hex312a1384809

3378549114889 has 27 divisors (see below), whose sum is σ = 3781078659477. Its totient is φ = 3017397052800.

The previous prime is 3378549114883. The next prime is 3378549114943. The reversal of 3378549114889 is 9884119458733.

The square root of 3378549114889 is 1838083.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 950225292025 + 2428323822864 = 974795^2 + 1558308^2 .

It is not a de Polignac number, because 3378549114889 - 23 = 3378549114881 is a prime.

It is a super-2 number, since 2×33785491148892 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3378549114881) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 740745169 + ... + 740749729.

It is an arithmetic number, because the mean of its divisors is an integer number (140039950351).

Almost surely, 23378549114889 is an apocalyptic number.

3378549114889 is the 1838083-rd square number.

3378549114889 is the 919042-nd centered octagonal number.

It is an amenable number.

3378549114889 is a deficient number, since it is larger than the sum of its proper divisors (402529544588).

3378549114889 is an frugal number, since it uses more digits than its factorization.

3378549114889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9210 (or 4605 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 70.

The spelling of 3378549114889 in words is "three trillion, three hundred seventy-eight billion, five hundred forty-nine million, one hundred fourteen thousand, eight hundred eighty-nine".

Divisors: 1 13 31 169 403 961 4561 5239 12493 59293 141391 162409 770809 1838083 4383121 20802721 23895079 56980573 270435373 644884351 740747449 3515659849 8383496563 19991414881 108985455319 259888393453 3378549114889