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9969919824 = 2431799112329
BaseRepresentation
bin10010100100100000…
…01110011101010000
3221201211011101212210
421102100032131100
5130404244413244
64325145552120
7502030630434
oct112220163520
927654141783
109969919824
11425683a367
121b22aa5640
13c2b6b7b57
146a81729c4
153d541a4b9
hex25240e750

9969919824 has 80 divisors (see below), whose sum is σ = 27300395520. Its totient is φ = 3124408320.

The previous prime is 9969919793. The next prime is 9969919877. The reversal of 9969919824 is 4289199699.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802492 + ... + 814820.

It is an arithmetic number, because the mean of its divisors is an integer number (341254944).

Almost surely, 29969919824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9969919824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13650197760).

9969919824 is an abundant number, since it is smaller than the sum of its proper divisors (17330475696).

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

9969919824 is a wasteful number, since it uses less digits than its factorization.

9969919824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13348 (or 13342 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 66.

The square root of 9969919824 is about 99849.4858474494. The cubic root of 9969919824 is about 2152.2723279508.

The spelling of 9969919824 in words is "nine billion, nine hundred sixty-nine million, nine hundred nineteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 991 1982 2973 3964 5946 7928 11892 12329 15856 16847 23784 24658 33694 36987 47568 49316 50541 67388 73974 98632 101082 134776 147948 197264 202164 209593 269552 295896 404328 419186 591792 628779 808656 838372 1257558 1676744 2515116 3353488 5030232 10060464 12218039 24436078 36654117 48872156 73308234 97744312 146616468 195488624 207706663 293232936 415413326 586465872 623119989 830826652 1246239978 1661653304 2492479956 3323306608 4984959912 9969919824