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3485055504 = 243780912821
BaseRepresentation
bin1100111110111001…
…1011101000010000
322222212202011101210
43033232123220100
524114133234004
61333452500120
7152235324450
oct31756335020
98885664353
103485055504
11152924a867
1281317a640
13437036328
14250bcbd60
15155e59089
hexcfb9ba10

3485055504 has 80 divisors (see below), whose sum is σ = 10302733440. Its totient is φ = 994421760.

The previous prime is 3485055481. The next prime is 3485055517. The reversal of 3485055504 is 4055505843.

It is a super-2 number, since 2×34850555042 = 24291223731921388032, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 265414 + ... + 278234.

It is an arithmetic number, because the mean of its divisors is an integer number (128784168).

Almost surely, 23485055504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3485055504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151366720).

3485055504 is an abundant number, since it is smaller than the sum of its proper divisors (6817677936).

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

3485055504 is a wasteful number, since it uses less digits than its factorization.

3485055504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13648 (or 13642 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

The square root of 3485055504 is about 59034.3586735725. The cubic root of 3485055504 is about 1516.1304366759.

The spelling of 3485055504 in words is "three billion, four hundred eighty-five million, fifty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 809 1618 2427 3236 4854 5663 6472 9708 11326 12821 12944 16989 19416 22652 25642 33978 38463 38832 45304 51284 67956 76926 89747 90608 102568 135912 153852 179494 205136 269241 271824 307704 358988 538482 615408 717976 1076964 1435952 2153928 4307856 10372189 20744378 31116567 41488756 62233134 72605323 82977512 124466268 145210646 165955024 217815969 248932536 290421292 435631938 497865072 580842584 871263876 1161685168 1742527752 3485055504