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34989198916 = 22723124312
BaseRepresentation
bin100000100101100001…
…001100111001000100
310100022110100110122011
4200211201030321010
51033124213331131
624023535544004
72346031166200
oct404541147104
9110273313564
1034989198916
1113925544021
12694598b004
1333b7c115c9
14199ccd7b00
15d9bb4a0b1
hex82584ce44

34989198916 has 81 divisors (see below), whose sum is σ = 73770969951. Its totient is φ = 14477979600.

The previous prime is 34989198889. The next prime is 34989198931. The reversal of 34989198916 is 61989198943.

The square root of 34989198916 is 187054.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 81181221 + ... + 81181651.

Almost surely, 234989198916 is an apocalyptic number.

34989198916 is the 187054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34989198916

34989198916 is an abundant number, since it is smaller than the sum of its proper divisors (38781771035).

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

34989198916 is an equidigital number, since it uses as much as digits as its factorization.

34989198916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 471 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 67.

The spelling of 34989198916 in words is "thirty-four billion, nine hundred eighty-nine million, one hundred ninety-eight thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 431 434 862 868 961 1519 1724 1922 3017 3038 3844 6034 6076 6727 12068 13361 13454 21119 26722 26908 42238 47089 53444 84476 93527 94178 185761 187054 188356 371522 374108 414191 654689 743044 828382 1300327 1309378 1656764 2600654 2618756 2899337 5201308 5758591 5798674 9102289 11517182 11597348 18204578 20295359 23034364 36409156 40310137 40590718 80620274 81181436 161240548 178516321 282170959 357032642 564341918 714065284 1128683836 1249614247 2499228494 4998456988 8747299729 17494599458 34989198916