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213865551936 = 263621412
BaseRepresentation
bin1100011100101101100…
…0010101100001000000
3202110000122202201000000
43013023120111201000
512000444040130221
6242125401000000
721310534124451
oct3071330254100
9673018681000
10213865551936
118277758a633
1235547183000
1317223b15a8a
14a4cb79b128
15586a89ae26
hex31cb615840

213865551936 has 147 divisors (see below), whose sum is σ = 636590438653. Its totient is φ = 71255220480.

The previous prime is 213865551931. The next prime is 213865551937. The reversal of 213865551936 is 639155568312.

The square root of 213865551936 is 462456.

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

213865551936 is a `hidden beast` number, since 2 + 1 + 3 + 86 + 5 + 551 + 9 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 203993142336 + 9872409600 = 451656^2 + 99360^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213865551931) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 99889426 + ... + 99891566.

Almost surely, 2213865551936 is an apocalyptic number.

213865551936 is the 462456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213865551936

213865551936 is an abundant number, since it is smaller than the sum of its proper divisors (422724886717).

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

213865551936 is an frugal number, since it uses more digits than its factorization.

213865551936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312 (or 2146 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The spelling of 213865551936 in words is "two hundred thirteen billion, eight hundred sixty-five million, five hundred fifty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2141 2592 2916 3888 4282 5184 5832 6423 7776 8564 11664 12846 15552 17128 19269 23328 25692 34256 38538 46656 51384 57807 68512 77076 102768 115614 137024 154152 173421 205536 231228 308304 346842 411072 462456 520263 616608 693684 924912 1040526 1233216 1387368 1560789 1849824 2081052 2774736 3121578 3699648 4162104 4583881 5549472 6243156 8324208 9167762 11098944 12486312 13751643 16648416 18335524 24972624 27503286 33296832 36671048 41254929 49945248 55006572 73342096 82509858 99890496 110013144 123764787 146684192 165019716 220026288 247529574 293368384 330039432 371294361 440052576 495059148 660078864 742588722 880105152 990118296 1113883083 1320157728 1485177444 1980236592 2227766166 2640315456 2970354888 3341649249 3960473184 4455532332 5940709776 6683298498 7920946368 8911064664 11881419552 13366596996 17822129328 23762839104 26733193992 35644258656 53466387984 71288517312 106932775968 213865551936