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2098329363108 = 22321119479582223
BaseRepresentation
bin11110100010001110001…
…011010010001010100100
321102121011011220001020100
4132202032023102022210
5233334334304104413
64243543104304100
7304412362205046
oct36421613221244
97377134801210
102098329363108
11739995249740
1229a806312030
13122b43c08674
14737b9aada96
15398b0713a73
hex1e88e2d22a4

2098329363108 has 144 divisors (see below), whose sum is σ = 6103570636800. Its totient is φ = 601132570560.

The previous prime is 2098329362989. The next prime is 2098329363131. The reversal of 2098329363108 is 8013639238902.

It is a happy number.

2098329363108 is a `hidden beast` number, since 209 + 8 + 32 + 93 + 6 + 310 + 8 = 666.

It is a super-2 number, since 2×20983293631082 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3312885 + ... + 3895107.

It is an arithmetic number, because the mean of its divisors is an integer number (42385907200).

Almost surely, 22098329363108 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 2098329363108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051785318400).

2098329363108 is an abundant number, since it is smaller than the sum of its proper divisors (4005241273692).

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

2098329363108 is a wasteful number, since it uses less digits than its factorization.

2098329363108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582742 (or 582737 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 2098329363108 in words is "two trillion, ninety-eight billion, three hundred twenty-nine million, three hundred sixty-three thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 479 627 684 836 958 1254 1437 1881 1916 2508 2874 3762 4311 5269 5748 7524 8622 9101 10538 15807 17244 18202 21076 27303 31614 36404 47421 54606 63228 81909 94842 100111 109212 163818 189684 200222 300333 327636 400444 582223 600666 900999 1164446 1201332 1746669 1801998 2328892 3493338 3603996 5240007 6404453 6986676 10480014 11062237 12808906 19213359 20960028 22124474 25617812 33186711 38426718 44248948 57640077 66373422 76853436 99560133 115280154 121684607 132746844 199120266 230560308 243369214 278884817 365053821 398240532 486738428 557769634 730107642 836654451 1095161463 1115539268 1460215284 1673308902 2190322926 2509963353 3067732987 3346617804 4380645852 5019926706 5298811523 6135465974 9203198961 10039853412 10597623046 12270931948 15896434569 18406397922 21195246092 27609596883 31792869138 36812795844 47689303707 55219193766 58286926753 63585738276 95378607414 110438387532 116573853506 174860780259 190757214828 233147707012 349721560518 524582340777 699443121036 1049164681554 2098329363108