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9976406460 = 2235337493393
BaseRepresentation
bin10010100101010001…
…11110000110111100
3221202021100221212120
421102220332012330
5130412430001320
64325541002540
7502140025056
oct112250760674
927667327776
109976406460
11425a46a919
121b250b3450
13c2cb494b7
146a8d808d6
153d5c9c440
hex252a3e1bc

9976406460 has 48 divisors (see below), whose sum is σ = 28016884896. Its totient is φ = 2652475392.

The previous prime is 9976406383. The next prime is 9976406483. The reversal of 9976406460 is 646046799.

9976406460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 226477 + ... + 266916.

It is an arithmetic number, because the mean of its divisors is an integer number (583685102).

Almost surely, 29976406460 is an apocalyptic number.

It is an amenable number.

9976406460 is an abundant number, since it is smaller than the sum of its proper divisors (18040478436).

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

9976406460 is a wasteful number, since it uses less digits than its factorization.

9976406460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493742 (or 493740 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 9976406460 is about 99881.9626359034. The cubic root of 9976406460 is about 2152.7389977178.

The spelling of 9976406460 in words is "nine billion, nine hundred seventy-six million, four hundred six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 337 674 1011 1348 1685 2022 3370 4044 5055 6740 10110 20220 493393 986786 1480179 1973572 2466965 2960358 4933930 5920716 7400895 9867860 14801790 29603580 166273441 332546882 498820323 665093764 831367205 997640646 1662734410 1995281292 2494101615 3325468820 4988203230 9976406460