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9896828620 = 2257671636473
BaseRepresentation
bin10010011011110010…
…11001111011001100
3221112201121222121011
421031321121323030
5130232042003440
64314015215004
7500152440520
oct111571317314
927481558534
109896828620
114219557908
121b02517464
13c19506313
1469c587d80
153cdccd9ea
hex24de59ecc

9896828620 has 96 divisors (see below), whose sum is σ = 24258544128. Its totient is φ = 3321533952.

The previous prime is 9896828609. The next prime is 9896828621. The reversal of 9896828620 is 268286989.

It is a super-2 number, since 2×98968286202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9896828621) 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 31 ways as a sum of consecutive naturals, for example, 1525704 + ... + 1532176.

It is an arithmetic number, because the mean of its divisors is an integer number (252693168).

Almost surely, 29896828620 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 9896828620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12129272064).

9896828620 is an abundant number, since it is smaller than the sum of its proper divisors (14361715508).

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

9896828620 is a wasteful number, since it uses less digits than its factorization.

9896828620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6719 (or 6717 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 58.

The square root of 9896828620 is about 99482.8056500218. The cubic root of 9896828620 is about 2146.9998623889. Note that the first 3 decimals are identical.

The spelling of 9896828620 in words is "nine billion, eight hundred ninety-six million, eight hundred twenty-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 163 268 326 335 469 652 670 815 938 1141 1340 1630 1876 2282 2345 3260 4564 4690 5705 6473 9380 10921 11410 12946 21842 22820 25892 32365 43684 45311 54605 64730 76447 90622 109210 129460 152894 181244 218420 226555 305788 382235 433691 453110 764470 867382 906220 1055099 1528940 1734764 2110198 2168455 3035837 4220396 4336910 5275495 6071674 7385693 8673820 10550990 12143348 14771386 15179185 21101980 29542772 30358370 36928465 60716740 70691633 73856930 141383266 147713860 282766532 353458165 494841431 706916330 989682862 1413832660 1979365724 2474207155 4948414310 9896828620