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9976641248 = 257291535813
BaseRepresentation
bin10010100101010011…
…10111011011100000
3221202021210212221102
421102221313123200
5130413010004443
64325550013532
7502142023430
oct112251673340
927667725842
109976641248
11425a610262
121b251a72a8
13c2cbcc322
146a90022c0
153d5ce6cb8
hex252a776e0

9976641248 has 48 divisors (see below), whose sum is σ = 23221507680. Its totient is φ = 4128262656.

The previous prime is 9976641217. The next prime is 9976641281. The reversal of 9976641248 is 8421466799.

9976641248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 9976641193 and 9976641202.

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 7 ways as a sum of consecutive naturals, for example, 761411 + ... + 774402.

It is an arithmetic number, because the mean of its divisors is an integer number (483781410).

Almost surely, 29976641248 is an apocalyptic number.

It is an amenable number.

9976641248 is an abundant number, since it is smaller than the sum of its proper divisors (13244866432).

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

9976641248 is a wasteful number, since it uses less digits than its factorization.

9976641248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535859 (or 1535851 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 56.

The square root of 9976641248 is about 99883.1379563137. The cubic root of 9976641248 is about 2152.7558853390.

The spelling of 9976641248 in words is "nine billion, nine hundred seventy-six million, six hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 6496 1535813 3071626 6143252 10750691 12286504 21501382 24573008 43002764 44538577 49146016 86005528 89077154 172011056 178154308 311770039 344022112 356308616 623540078 712617232 1247080156 1425234464 2494160312 4988320624 9976641248