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2098832821740 = 22325171634207933
BaseRepresentation
bin11110100010101100001…
…011110100110111101100
321102122110021020101122100
4132202230023310313230
5233341402200243430
64244105051215100
7304431014425344
oct36425413646754
97378407211570
102098832821740
1173a123458656
1229a926a47490
13122bc4301a95
14738268c5d24
15398dea11960
hex1e8ac2f4dec

2098832821740 has 144 divisors (see below), whose sum is σ = 6782314357728. Its totient is φ = 523534067712.

The previous prime is 2098832821739. The next prime is 2098832821741. The reversal of 2098832821740 is 471282388902.

2098832821740 is a `hidden beast` number, since 20 + 9 + 88 + 328 + 217 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2098832821739) and next prime (2098832821741).

It is a super-2 number, since 2×20988328217402 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2098832821741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1605187 + ... + 2602746.

It is an arithmetic number, because the mean of its divisors is an integer number (47099405262).

Almost surely, 22098832821740 is an apocalyptic number.

2098832821740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2098832821740 is an abundant number, since it is smaller than the sum of its proper divisors (4683481535988).

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

2098832821740 is a wasteful number, since it uses less digits than its factorization.

2098832821740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208128 (or 4208123 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 2098832821740 in words is "two trillion, ninety-eight billion, eight hundred thirty-two million, eight hundred twenty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 163 170 180 204 255 306 326 340 489 510 612 652 765 815 978 1020 1467 1530 1630 1956 2445 2771 2934 3060 3260 4890 5542 5868 7335 8313 9780 11084 13855 14670 16626 24939 27710 29340 33252 41565 49878 55420 83130 99756 124695 166260 249390 498780 4207933 8415866 12623799 16831732 21039665 25247598 37871397 42079330 50495196 63118995 71534861 75742794 84158660 126237990 143069722 151485588 189356985 214604583 252475980 286139444 357674305 378713970 429209166 643813749 685893079 715348610 757427940 858418332 1073022915 1287627498 1371786158 1430697220 2057679237 2146045830 2575254996 2743572316 3219068745 3429465395 4115358474 4292091660 6173037711 6438137490 6858930790 8230716948 10288396185 11660182343 12346075422 12876274980 13717861580 20576792370 23320364686 24692150844 30865188555 34980547029 41153584740 46640729372 58300911715 61730377110 69961094058 104941641087 116601823430 123460754220 139922188116 174902735145 209883282174 233203646860 349805470290 419766564348 524708205435 699610940580 1049416410870 2098832821740