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196369514496 = 216325772
BaseRepresentation
bin1011011011100010001…
…0010000000000000000
3200202212022212220122100
42312320202100000000
511204131043430441
6230113320110400
720121135222111
oct2667042200000
9622768786570
10196369514496
1176309520761
1232083905400
13156961270bc
14970bc78208
15519488ecb6
hex2db8890000

196369514496 has 153 divisors (see below), whose sum is σ = 568270247961. Its totient is φ = 65343062016.

The previous prime is 196369514491. The next prime is 196369514543. The reversal of 196369514496 is 694415963691.

The square root of 196369514496 is 443136.

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

196369514496 is a `hidden beast` number, since 1 + 96 + 3 + 6 + 9 + 51 + 4 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 195010560000 + 1358954496 = 441600^2 + 36864^2 .

It is not an unprimeable number, because it can be changed into a prime (196369514491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 340328160 + ... + 340328736.

Almost surely, 2196369514496 is an apocalyptic number.

196369514496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

196369514496 is the 443136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196369514496

196369514496 is an abundant number, since it is smaller than the sum of its proper divisors (371900733465).

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

196369514496 is an frugal number, since it uses more digits than its factorization.

196369514496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 582 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 63.

The spelling of 196369514496 in words is "one hundred ninety-six billion, three hundred sixty-nine million, five hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 577 768 1024 1152 1154 1536 1731 2048 2304 2308 3072 3462 4096 4608 4616 5193 6144 6924 8192 9216 9232 10386 12288 13848 16384 18432 18464 20772 24576 27696 32768 36864 36928 41544 49152 55392 65536 73728 73856 83088 98304 110784 147456 147712 166176 196608 221568 294912 295424 332352 332929 443136 589824 590848 664704 665858 886272 998787 1181696 1329408 1331716 1772544 1997574 2363392 2658816 2663432 2996361 3545088 3995148 4726784 5317632 5326864 5992722 7090176 7990296 9453568 10635264 10653728 11985444 14180352 15980592 18907136 21270528 21307456 23970888 28360704 31961184 37814272 42541056 42614912 47941776 56721408 63922368 85082112 85229824 95883552 113442816 127844736 170164224 170459648 191767104 255689472 340328448 340919296 383534208 511378944 681838592 767068416 1022757888 1363677184 1534136832 2045515776 2727354368 3068273664 4091031552 5454708736 6136547328 8182063104 10909417472 12273094656 16364126208 21818834944 24546189312 32728252416 49092378624 65456504832 98184757248 196369514496