Search a number
-
+
198299214864 = 24324328632
BaseRepresentation
bin1011100010101110001…
…1011110010000010000
3200221211210221211220100
42320223203132100100
511222104044333424
6231033012212400
720220016341522
oct2705343362020
9627753854810
10198299214864
1177109812153
123252200a100
1315912b5943a
149852273a12
155258eb7dc9
hex2e2b8de410

198299214864 has 135 divisors (see below), whose sum is σ = 568827757407. Its totient is φ = 64487723328.

The previous prime is 198299214829. The next prime is 198299214889. The reversal of 198299214864 is 468412992891.

The square root of 198299214864 is 445308.

It is a perfect power (a square), and thus also a powerful number.

It is a nude number because it is divisible by every one of its digits.

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 26 ways as a sum of consecutive naturals, for example, 229778497 + ... + 229779359.

Almost surely, 2198299214864 is an apocalyptic number.

198299214864 is the 445308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198299214864

198299214864 is an abundant number, since it is smaller than the sum of its proper divisors (370528542543).

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

198299214864 is an frugal number, since it uses more digits than its factorization.

198299214864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 911 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 198299214864 in words is "one hundred ninety-eight billion, two hundred ninety-nine million, two hundred fourteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 863 1032 1548 1726 1849 2064 2589 3096 3452 3698 5178 5547 6192 6904 7396 7767 10356 11094 13808 14792 15534 16641 20712 22188 29584 31068 33282 37109 41424 44376 62136 66564 74218 88752 111327 124272 133128 148436 222654 266256 296872 333981 445308 593744 667962 744769 890616 1335924 1489538 1595687 1781232 2234307 2671848 2979076 3191374 4468614 4787061 5343696 5958152 6382748 6702921 8937228 9574122 11916304 12765496 13405842 14361183 17874456 19148244 25530992 26811684 28722366 32025067 35748912 38296488 53623368 57444732 64050134 76592976 96075201 107246736 114889464 128100268 192150402 229778928 256200536 288225603 384300804 512401072 576451206 768601608 1152902412 1377077881 1537203216 2305804824 2754155762 4131233643 4611609648 5508311524 8262467286 11016623048 12393700929 16524934572 22033246096 24787401858 33049869144 49574803716 66099738288 99149607432 198299214864