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9857238468 = 223721110714243
BaseRepresentation
bin10010010111000100…
…11000010111000100
3221102222010121010020
421023202120113010
5130141423112333
64310042455140
7466162100400
oct111342302704
927388117106
109857238468
1141a9177180
121ab12044b0
13c112541ac
14697200100
153ca5ad3b3
hex24b8985c4

9857238468 has 144 divisors (see below), whose sum is σ = 29462517504. Its totient is φ = 2536215360.

The previous prime is 9857238463. The next prime is 9857238481. The reversal of 9857238468 is 8648327589.

It is not an unprimeable number, because it can be changed into a prime (9857238463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 684955 + ... + 699197.

It is an arithmetic number, because the mean of its divisors is an integer number (204600816).

Almost surely, 29857238468 is an apocalyptic number.

9857238468 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9857238468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731258752).

9857238468 is an abundant number, since it is smaller than the sum of its proper divisors (19605279036).

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

9857238468 is a wasteful number, since it uses less digits than its factorization.

9857238468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14382 (or 14373 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 60.

The square root of 9857238468 is about 99283.6263842130. The cubic root of 9857238468 is about 2144.1331647746.

The spelling of 9857238468 in words is "nine billion, eight hundred fifty-seven million, two hundred thirty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 107 132 147 154 196 214 231 294 308 321 428 462 539 588 642 749 924 1078 1177 1284 1498 1617 2156 2247 2354 2996 3234 3531 4494 4708 5243 6468 7062 8239 8988 10486 14124 14243 15729 16478 20972 24717 28486 31458 32956 42729 49434 56972 57673 62916 85458 98868 99701 115346 156673 170916 173019 199402 230692 299103 313346 346038 398804 470019 598206 626692 692076 697907 940038 1096711 1196412 1395814 1524001 1880076 2093721 2193422 2791628 3048002 3290133 4187442 4386844 4572003 6096004 6580266 7676977 8374884 9144006 10668007 13160532 15353954 16764011 18288012 21336014 23030931 30707908 32004021 33528022 42672028 46061862 50292033 64008042 67056044 74676049 92123724 100584066 117348077 128016084 149352098 201168132 224028147 234696154 298704196 352044231 448056294 469392308 704088462 821436539 896112588 1408176924 1642873078 2464309617 3285746156 4928619234 9857238468