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9842683969044 = 22324721181104801
BaseRepresentation
bin1000111100111010110110…
…1011100111111000010100
31021211221200120100212012100
42033032231223213320110
52242230304044002134
632533355552322100
72034052612215603
oct217165553477024
937757616325170
109842683969044
1131552935585a3
12112b6b2b43330
13565212c81684
14260561c77a3a
1512106de20999
hex8f3adae7e14

9842683969044 has 108 divisors (see below), whose sum is σ = 25442512618068. Its totient is φ = 3208338816000.

The previous prime is 9842683968977. The next prime is 9842683969073. The reversal of 9842683969044 is 4409693862489.

9842683969044 is a `hidden beast` number, since 98 + 4 + 2 + 68 + 396 + 90 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8994420864900 + 848263104144 = 2999070^2 + 921012^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93865444 + ... + 93970244.

Almost surely, 29842683969044 is an apocalyptic number.

9842683969044 is a gapful number since it is divisible by the number (94) 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 9842683969044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12721256309034).

9842683969044 is an abundant number, since it is smaller than the sum of its proper divisors (15599828649024).

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

9842683969044 is a wasteful number, since it uses less digits than its factorization.

9842683969044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106086 (or 106034 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 9842683969044 in words is "nine trillion, eight hundred forty-two billion, six hundred eighty-three million, nine hundred sixty-nine thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1181 1692 2209 2362 3543 4418 4724 6627 7086 8836 10629 13254 14172 19881 21258 26508 39762 42516 55507 79524 104801 111014 166521 209602 222028 314403 333042 419204 499563 628806 666084 943209 999126 1257612 1886418 1998252 2608829 3772836 4925647 5217658 7826487 9851294 10435316 14776941 15652974 19702588 23479461 29553882 31305948 44330823 46958922 59107764 88661646 93917844 123769981 177323292 231505409 247539962 371309943 463010818 495079924 694516227 742619886 926021636 1113929829 1389032454 1485239772 2083548681 2227859658 2778064908 4167097362 4455719316 5817189107 8334194724 11634378214 17451567321 23268756428 34903134642 52354701963 69806269284 104709403926 209418807852 273407888029 546815776058 820223664087 1093631552116 1640447328174 2460670992261 3280894656348 4921341984522 9842683969044