Search a number
-
+
198021675264 = 283767549767
BaseRepresentation
bin1011100001101100000…
…0101111100100000000
3200221010110201101010220
42320123000233210000
511221022022102024
6230545255423040
720210106316260
oct2703300574400
9627113641126
10198021675264
1176a87089586
1232465084a80
131589a4c391a
1498274697a0
15523e943e79
hex2e1b02f900

198021675264 has 144 divisors (see below), whose sum is σ = 611306830848. Its totient is φ = 55733078016.

The previous prime is 198021675233. The next prime is 198021675283. The reversal of 198021675264 is 462576120891.

It is a super-2 number, since 2×1980216752642 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85309 + ... + 635075.

Almost surely, 2198021675264 is an apocalyptic number.

198021675264 is a gapful number since it is divisible by the number (14) 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 198021675264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305653415424).

198021675264 is an abundant number, since it is smaller than the sum of its proper divisors (413285155584).

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

198021675264 is an equidigital number, since it uses as much as digits as its factorization.

198021675264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549860 (or 549846 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 198021675264 in words is "one hundred ninety-eight billion, twenty-one million, six hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 128 134 168 192 201 224 256 268 336 384 402 448 469 536 672 768 804 896 938 1072 1344 1407 1608 1792 1876 2144 2688 2814 3216 3752 4288 5376 5628 6432 7504 8576 11256 12864 15008 17152 22512 25728 30016 45024 51456 60032 90048 120064 180096 360192 549767 1099534 1649301 2199068 3298602 3848369 4398136 6597204 7696738 8796272 11545107 13194408 15393476 17592544 23090214 26388816 30786952 35185088 36834389 46180428 52777632 61573904 70370176 73668778 92360856 105555264 110503167 123147808 140740352 147337556 184721712 211110528 221006334 246295616 257840723 294675112 369443424 422221056 442012668 492591232 515681446 589350224 738886848 773522169 884025336 985182464 1031362892 1178700448 1477773696 1547044338 1768050672 2062725784 2357400896 2955547392 3094088676 3536101344 4125451568 4714801792 6188177352 7072202688 8250903136 9429603584 12376354704 14144405376 16501806272 24752709408 28288810752 33003612544 49505418816 66007225088 99010837632 198021675264