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5644635283072 = 272935337311549
BaseRepresentation
bin101001000100011111001…
…1110110001111010000000
3201222121210100010111101201
41102020332132301322000
51214440203113024242
620001035403510544
71121545216154602
oct122107636617200
921877710114351
105644635283072
111886970509955
12771b74b28454
1331c3961c5b76
141572b7a7b172
159bc6ae884b7
hex5223e7b1e80

5644635283072 has 128 divisors (see below), whose sum is σ = 11698179570000. Its totient is φ = 2709757231104.

The previous prime is 5644635283039. The next prime is 5644635283099. The reversal of 5644635283072 is 2703825364465.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4351829898816 + 1292805384256 = 2086104^2 + 1137016^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488749554 + ... + 488761102.

Almost surely, 25644635283072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5644635283072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849089785000).

5644635283072 is an abundant number, since it is smaller than the sum of its proper divisors (6053544286928).

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

5644635283072 is a wasteful number, since it uses less digits than its factorization.

5644635283072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12318 (or 12306 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 55.

The spelling of 5644635283072 in words is "five trillion, six hundred forty-four billion, six hundred thirty-five million, two hundred eighty-three thousand, seventy-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 353 373 464 706 746 928 1412 1492 1856 2824 2984 3712 5648 5968 10237 10817 11296 11549 11936 20474 21634 22592 23098 23872 40948 43268 45184 46196 47744 81896 86536 92392 131669 163792 173072 184784 263338 327584 334921 346144 369568 526676 655168 669842 692288 739136 1053352 1310336 1339684 1384576 1478272 2106704 2679368 3818401 4076797 4213408 4307777 5358736 7636802 8153594 8426816 8615554 10717472 15273604 16307188 16853632 17231108 21434944 30547208 32614376 34462216 42869888 61094416 65228752 68924432 118227113 122188832 124925533 130457504 137848864 236454226 244377664 249851066 260915008 275697728 472908452 488755328 499702132 521830016 551395456 945816904 999404264 1520645281 1891633808 1998808528 3041290562 3783267616 3997617056 6082581124 7566535232 7995234112 12165162248 15133070464 15990468224 24330324496 44098713149 48660648992 88197426298 97321297984 176394852596 194642595968 352789705192 705579410384 1411158820768 2822317641536 5644635283072