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3883374714384 = 2432112149292
BaseRepresentation
bin111000100000101011001…
…010111001111000010000
3111202020200001122100021100
4320200223022321320100
51002111122411330014
612131555301224400
7550364434303134
oct70405312717020
914666601570240
103883374714384
111267a25872400
1252875a402100
1322227bb22ca9
14d5d562a13c4
156b037415009
hex3882b2b9e10

3883374714384 has 135 divisors (see below), whose sum is σ = 11946679555629. Its totient is φ = 1176701391360.

The previous prime is 3883374714311. The next prime is 3883374714389. The reversal of 3883374714384 is 4834174733883.

The square root of 3883374714384 is 1970628.

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

3883374714384 is a `hidden beast` number, since 3 + 8 + 83 + 3 + 7 + 471 + 4 + 3 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3352458464784 + 530916249600 = 1830972^2 + 728640^2 .

It is not an unprimeable number, because it can be changed into a prime (3883374714389) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 260115432 + ... + 260130360.

Almost surely, 23883374714384 is an apocalyptic number.

3883374714384 is the 1970628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3883374714384

3883374714384 is an abundant number, since it is smaller than the sum of its proper divisors (8063304841245).

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

3883374714384 is an equidigital number, since it uses as much as digits as its factorization.

3883374714384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29894 (or 14945 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 3883374714384 in words is "three trillion, eight hundred eighty-three billion, three hundred seventy-four million, seven hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 14929 17424 29858 44787 59716 89574 119432 134361 164219 179148 238864 268722 328438 358296 492657 537444 656876 716592 985314 1074888 1313752 1477971 1806409 1970628 2149776 2627504 2955942 3612818 3941256 5419227 5911884 7225636 7882512 10838454 11823768 14451272 16257681 21676908 23647536 28902544 32515362 43353816 65030724 86707632 130061448 222875041 260122896 445750082 668625123 891500164 1337250246 1783000328 2005875369 2451625451 2674500492 3566000656 4011750738 4903250902 5349000984 7354876353 8023501476 9806501804 10698001968 14709752706 16047002952 19613003608 22064629059 26967879961 29419505412 32094005904 39226007216 44129258118 53935759922 58839010824 80903639883 88258516236 107871519844 117678021648 161807279766 176517032472 215743039688 242710919649 323614559532 353034064944 431486079376 485421839298 647229119064 970843678596 1294458238128 1941687357192 3883374714384