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9804814020 = 22335127142969
BaseRepresentation
bin10010010000110100…
…11001011011000100
3221022022111011022000
421020122121123010
5130040013022040
64300531105300
7464654354421
oct111032313304
927268434260
109804814020
11418161a991
121a97742230
13c0342a401
14690274d48
153c5ba5130
hex2486996c4

9804814020 has 96 divisors (see below), whose sum is σ = 30744268800. Its totient is φ = 2594011392.

The previous prime is 9804813989. The next prime is 9804814031. The reversal of 9804814020 is 204184089.

It is a super-2 number, since 2×98048140202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2905 + ... + 140064.

It is an arithmetic number, because the mean of its divisors is an integer number (320252800).

Almost surely, 29804814020 is an apocalyptic number.

9804814020 is a gapful number since it is divisible by the number (90) 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 9804814020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15372134400).

9804814020 is an abundant number, since it is smaller than the sum of its proper divisors (20939454780).

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

9804814020 is a wasteful number, since it uses less digits than its factorization.

9804814020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143114 (or 143106 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 9804814020 is about 99019.2608536339. The cubic root of 9804814020 is about 2140.3253079285.

The spelling of 9804814020 in words is "nine billion, eight hundred four million, eight hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 127 135 180 254 270 381 508 540 635 762 1143 1270 1524 1905 2286 2540 3429 3810 4572 5715 6858 7620 11430 13716 17145 22860 34290 68580 142969 285938 428907 571876 714845 857814 1286721 1429690 1715628 2144535 2573442 2859380 3860163 4289070 5146884 6433605 7720326 8578140 12867210 15440652 18157063 19300815 25734420 36314126 38601630 54471189 72628252 77203260 90785315 108942378 163413567 181570630 217884756 272355945 326827134 363141260 490240701 544711890 653654268 817067835 980481402 1089423780 1634135670 1960962804 2451203505 3268271340 4902407010 9804814020