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9870223752 = 2332594215519
BaseRepresentation
bin10010011000100111…
…11010100110001000
3221110212120022120200
421030103322212020
5130203234130002
64311225052200
7466410342354
oct111423724610
927425508520
109870223752
114205536214
121ab5627060
13c13b4c7ac
14698c20464
153cb7c5b1c
hex24c4fa988

9870223752 has 96 divisors (see below), whose sum is σ = 27254448000. Its totient is φ = 3226043520.

The previous prime is 9870223751. The next prime is 9870223757. The reversal of 9870223752 is 2573220789.

It is a junction number, because it is equal to n+sod(n) for n = 9870223698 and 9870223707.

It is not an unprimeable number, because it can be changed into a prime (9870223751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1785649 + ... + 1791167.

It is an arithmetic number, because the mean of its divisors is an integer number (283900500).

Almost surely, 29870223752 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 9870223752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13627224000).

9870223752 is an abundant number, since it is smaller than the sum of its proper divisors (17384224248).

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

9870223752 is a wasteful number, since it uses less digits than its factorization.

9870223752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6011 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 9870223752 is about 99348.9997533946. Note that the first 3 decimals coincide. The cubic root of 9870223752 is about 2145.0742654451.

The spelling of 9870223752 in words is "nine billion, eight hundred seventy million, two hundred twenty-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 421 472 531 708 842 1062 1263 1416 1684 2124 2526 3368 3789 4248 5052 5519 7578 10104 11038 15156 16557 22076 24839 30312 33114 44152 49671 49678 66228 74517 99342 99356 132456 149034 198684 198712 223551 298068 325621 397368 447102 596136 651242 894204 976863 1302484 1788408 1953726 2323499 2604968 2930589 3907452 4646998 5861178 6970497 7814904 9293996 11722356 13940994 18587992 20911491 23444712 27881988 41822982 55763976 83645964 137086441 167291928 274172882 411259323 548345764 822518646 1096691528 1233777969 1645037292 2467555938 3290074584 4935111876 9870223752