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108934820469 = 32376146111633
BaseRepresentation
bin110010101110100000…
…1010111001001110101
3101102011212002020202100
41211131001113021311
53241044303223334
6122013255132313
710604335460526
oct1453501271165
9342155066670
10108934820469
1142220958a52
1219142074099
13a37091b367
1453b594a84d
152c7883dc99
hex195d057275

108934820469 has 48 divisors (see below), whose sum is σ = 164622682224. Its totient is φ = 69345331200.

The previous prime is 108934820453. The next prime is 108934820471. The reversal of 108934820469 is 964028439801.

108934820469 is a `hidden beast` number, since 10 + 8 + 93 + 4 + 82 + 0 + 469 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 608263569 + 108326556900 = 24663^2 + 329130^2 .

It is not a de Polignac number, because 108934820469 - 24 = 108934820453 is a prime.

It is a super-2 number, since 2×1089348204692 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108934824469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9358477 + ... + 9370109.

It is an arithmetic number, because the mean of its divisors is an integer number (3429639213).

Almost surely, 2108934820469 is an apocalyptic number.

It is an amenable number.

108934820469 is a deficient number, since it is larger than the sum of its proper divisors (55687861755).

108934820469 is a wasteful number, since it uses less digits than its factorization.

108934820469 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12198 (or 12195 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 108934820469 in words is "one hundred eight billion, nine hundred thirty-four million, eight hundred twenty thousand, four hundred sixty-nine".

Divisors: 1 3 9 37 61 111 183 333 461 549 1383 2257 4149 6771 11633 17057 20313 28121 34899 51171 84363 104697 153513 253089 430421 709613 1040477 1291263 2128839 3121431 3873789 5362813 6386517 9364293 16088439 26255681 48265317 78767043 198424081 236301129 327131593 595272243 981394779 1785816729 2944184337 12103868941 36311606823 108934820469