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9809938420 = 2252332518387
BaseRepresentation
bin10010010001011011…
…11100011111110100
3221022200010111122121
421020231330133310
5130042321012140
64301233005324
7465046046362
oct111055743764
927280114577
109809938420
1141844aaa27
121a993b3844
13c045029b9
14690c0a632
153c636864a
hex248b7c7f4

9809938420 has 48 divisors (see below), whose sum is σ = 20774190528. Its totient is φ = 3891104000.

The previous prime is 9809938409. The next prime is 9809938423. The reversal of 9809938420 is 248399089.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9809938423) 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, 1165467 + ... + 1173853.

It is an arithmetic number, because the mean of its divisors is an integer number (432795636).

Almost surely, 29809938420 is an apocalyptic number.

It is an amenable number.

9809938420 is an abundant number, since it is smaller than the sum of its proper divisors (10964252108).

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

9809938420 is a wasteful number, since it uses less digits than its factorization.

9809938420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880 (or 8878 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The square root of 9809938420 is about 99045.1332474241. The cubic root of 9809938420 is about 2140.6981170671.

The spelling of 9809938420 in words is "nine billion, eight hundred nine million, nine hundred thirty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 233 251 466 502 932 1004 1165 1255 2330 2510 4660 5020 8387 16774 33548 41935 58483 83870 116966 167740 233932 292415 584830 1169660 1954171 2105137 3908342 4210274 7816684 8420548 9770855 10525685 19541710 21051370 39083420 42102740 490496921 980993842 1961987684 2452484605 4904969210 9809938420