Search a number
-
+
198534390354240 = 26351478111399129
BaseRepresentation
bin101101001001000011100011…
…110100000001000101000000
3222000221200222000111221000120
4231021003203310001011000
5202010241412412313430
61542125235000220240
756550431162010423
oct5511034364010500
9860850860457016
10198534390354240
1158293a64635126
121a32536576a680
1386a19359a4115
1437051899299ba
1517e4505e9e610
hexb490e3d01140

198534390354240 has 112 divisors (see below), whose sum is σ = 630351404450880. Its totient is φ = 52942108078080.

The previous prime is 198534390354217. The next prime is 198534390354329. The reversal of 198534390354240 is 42453093435891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141198996 + ... + 142598124.

It is an arithmetic number, because the mean of its divisors is an integer number (5628137539740).

Almost surely, 2198534390354240 is an apocalyptic number.

198534390354240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198534390354240 is an abundant number, since it is smaller than the sum of its proper divisors (431817014096640).

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

198534390354240 is a wasteful number, since it uses less digits than its factorization.

198534390354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546960 (or 1546950 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 60.

The spelling of 198534390354240 in words is "one hundred ninety-eight trillion, five hundred thirty-four billion, three hundred ninety million, three hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 147811 295622 443433 591244 739055 886866 1182488 1399129 1478110 1773732 2217165 2364976 2798258 2956220 3547464 4197387 4434330 4729952 5596516 5912440 6995645 7094928 8394774 8868660 9459904 11193032 11824880 13991290 14189856 16789548 17737320 20986935 22386064 23649760 27982580 28379712 33579096 35474640 41973870 44772128 47299520 55965160 67158192 70949280 83947740 89544256 111930320 134316384 141898560 167895480 223860640 268632768 335790960 447721280 671581920 1343163840 206806656619 413613313238 620419969857 827226626476 1034033283095 1240839939714 1654453252952 2068066566190 2481679879428 3102099849285 3308906505904 4136133132380 4963359758856 6204199698570 6617813011808 8272266264760 9926719517712 12408399397140 13235626023616 16544532529520 19853439035424 24816798794280 33089065059040 39706878070848 49633597588560 66178130118080 99267195177120 198534390354240