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2098038074500 = 22532929751437
BaseRepresentation
bin11110100001111100110…
…100000110110010000100
321102120101212210001101101
4132201330310012302010
5233333240221341000
64243454141105444
7304402224250114
oct36417464066204
97376355701341
102098038074500
11739855885255
1229a744858284
13122ac876aa44
147378d127044
1539894d75e6a
hex1e87cd06c84

2098038074500 has 144 divisors (see below), whose sum is σ = 4794584125968. Its totient is φ = 801907814400.

The previous prime is 2098038074497. The next prime is 2098038074513. The reversal of 2098038074500 is 54708308902.

It can be written as a sum of positive squares in 24 ways, for example, as 1637626971204 + 460411103296 = 1279698^2 + 678536^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40762782 + ... + 40814218.

It is an arithmetic number, because the mean of its divisors is an integer number (33295723097).

Almost surely, 22098038074500 is an apocalyptic number.

2098038074500 is a gapful number since it is divisible by the number (20) 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 2098038074500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397292062984).

2098038074500 is an abundant number, since it is smaller than the sum of its proper divisors (2696546051468).

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

2098038074500 is a wasteful number, since it uses less digits than its factorization.

2098038074500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51611 (or 51570 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 2098038074500 in words is "two trillion, ninety-eight billion, thirty-eight million, seventy-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 97 100 116 125 145 194 250 290 388 485 500 580 725 841 970 1450 1682 1940 2425 2813 2900 3364 3625 4205 4850 5626 7250 8410 9700 11252 12125 14065 14500 16820 21025 24250 28130 42050 48500 51437 56260 70325 81577 84100 102874 105125 140650 163154 205748 210250 257185 281300 326308 351625 407885 420500 514370 703250 815770 1028740 1285925 1406500 1491673 1631540 2039425 2571850 2983346 4078850 4989389 5143700 5966692 6429625 7458365 8157700 9978778 10197125 12859250 14916730 19957556 20394250 24946945 25718500 29833460 37291825 40788500 43258517 49893890 74583650 86517034 99787780 124734725 144692281 149167300 173034068 186459125 216292585 249469450 289384562 372918250 432585170 498938900 578769124 623673625 723461405 745836500 865170340 1081462925 1247347250 1446922810 2162925850 2494694500 2893845620 3617307025 4196076149 4325851700 5407314625 7234614050 8392152298 10814629250 14469228100 16784304596 18086535125 20980380745 21629258500 36173070250 41960761490 72346140500 83921522980 104901903725 209803807450 419607614900 524509518625 1049019037250 2098038074500