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5980417820 = 2251347934799
BaseRepresentation
bin1011001000111010…
…11110111100011100
3120102210012200222022
411210131132330130
544221441332240
62425233035312
7301125466316
oct54435367434
916383180868
105980417820
112599876473
1211aa9b5b38
13744000890
1440a3927b6
1525006a9b5
hex16475ef1c

5980417820 has 48 divisors (see below), whose sum is σ = 13530585600. Its totient is φ = 2207233536.

The previous prime is 5980417813. The next prime is 5980417823. The reversal of 5980417820 is 287140895.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5980417823) 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 15 ways as a sum of consecutive naturals, for example, 1243781 + ... + 1248579.

It is an arithmetic number, because the mean of its divisors is an integer number (281887200).

Almost surely, 25980417820 is an apocalyptic number.

It is an amenable number.

5980417820 is an abundant number, since it is smaller than the sum of its proper divisors (7550167780).

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

5980417820 is a wasteful number, since it uses less digits than its factorization.

5980417820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9614 (or 9612 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 44.

The square root of 5980417820 is about 77333.1611923371. The cubic root of 5980417820 is about 1815.1415948445.

The spelling of 5980417820 in words is "five billion, nine hundred eighty million, four hundred seventeen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 4793 4799 9586 9598 19172 19196 23965 23995 47930 47990 62309 62387 95860 95980 124618 124774 249236 249548 311545 311935 623090 623870 1246180 1247740 23001607 46003214 92006428 115008035 230016070 299020891 460032140 598041782 1196083564 1495104455 2990208910 5980417820