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4341530645956 = 227231248012
BaseRepresentation
bin111111001011010111011…
…001000101010111000100
3120101001020201212010200201
4333023113121011113010
51032112423321132311
613122245513020244
7625444114413100
oct77132731052704
916331221763621
104341530645956
111424261958969
125a15019b4684
13256534b3bb5a
141101ba04c900
1577dee7009c1
hex3f2d76455c4

4341530645956 has 81 divisors (see below), whose sum is σ = 9134315849421. Its totient is φ = 1800259776000.

The previous prime is 4341530645939. The next prime is 4341530645981. The reversal of 4341530645956 is 6595460351434.

The square root of 4341530645956 is 2083634.

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

It can be written as a sum of positive squares in only one way, i.e., 2507997999556 + 1833532646400 = 1583666^2 + 1354080^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4341530645897 and 4341530645906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 904294756 + ... + 904299556.

Almost surely, 24341530645956 is an apocalyptic number.

4341530645956 is the 2083634-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4341530645956

4341530645956 is an abundant number, since it is smaller than the sum of its proper divisors (4792785203465).

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

4341530645956 is an frugal number, since it uses more digits than its factorization.

4341530645956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9682 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 55.

The spelling of 4341530645956 in words is "four trillion, three hundred forty-one billion, five hundred thirty million, six hundred forty-five thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 434 868 961 1519 1922 3038 3844 4801 6076 6727 9602 13454 19204 26908 33607 47089 67214 94178 134428 148831 188356 235249 297662 470498 595324 940996 1041817 2083634 4167268 4613761 7292719 9227522 14585438 18455044 23049601 29170876 32296327 46099202 64592654 92198404 129185308 161347207 226074289 322694414 452148578 645388828 714537631 904297156 1129430449 1429075262 2258860898 2858150524 4517721796 5001763417 10003526834 20007053668 22150666561 35012343919 44301333122 70024687838 88602666244 140049375676 155054665927 310109331854 620218663708 1085382661489 2170765322978 4341530645956