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4940320905 = 3251310977477
BaseRepresentation
bin1001001100111011…
…10101000010001001
3110202022002022020100
410212131311002021
540104210232110
62134120120013
7233266014642
oct44635650211
913668068210
104940320905
112105756243
12b5a606009
13609694a10
1434c1a86c9
151ddab8bc0
hex126775089

4940320905 has 48 divisors (see below), whose sum is σ = 9306657360. Its totient is φ = 2409813504.

The previous prime is 4940320843. The next prime is 4940320933. The reversal of 4940320905 is 5090230494.

4940320905 = 61002 + 61012 + ... + 62292.

4940320905 is a `hidden beast` number, since 49 + 403 + 209 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12702096 + 4927618809 = 3564^2 + 70197^2 .

It is not a de Polignac number, because 4940320905 - 26 = 4940320841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4940320905.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25027 + ... + 102503.

It is an arithmetic number, because the mean of its divisors is an integer number (193888695).

Almost surely, 24940320905 is an apocalyptic number.

4940320905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4940320905 is a deficient number, since it is larger than the sum of its proper divisors (4366336455).

4940320905 is a wasteful number, since it uses less digits than its factorization.

4940320905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77610 (or 77607 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4940320905 is about 70287.4164057835. The cubic root of 4940320905 is about 1703.1453768816.

The spelling of 4940320905 in words is "four billion, nine hundred forty million, three hundred twenty thousand, nine hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 109 117 195 327 545 585 981 1417 1635 4251 4905 7085 12753 21255 63765 77477 232431 387385 697293 1007201 1162155 3021603 3486465 5036005 8444993 9064809 15108015 25334979 42224965 45324045 76004937 109784909 126674895 329354727 380024685 548924545 988064181 1646773635 4940320905