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21544344344512 = 261153661873541
BaseRepresentation
bin1001110011000001011101…
…11111011101011111000000
32211021121201101210202012101
410321200232333131133000
510310440304123011022
6113453200221040144
74352345636245453
oct471405677353700
984247641722171
1021544344344512
1169569a57a4830
1224bb5313b6054
13c03813827242
14546a7504349a
1527564030a627
hex13982efdd7c0

21544344344512 has 112 divisors (see below), whose sum is σ = 47590526229984. Its totient is φ = 9593565696000.

The previous prime is 21544344344473. The next prime is 21544344344557.

21544344344512 is nontrivially palindromic in base 10.

It is a congruent number.

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, 24226462 + ... + 25100002.

Almost surely, 221544344344512 is an apocalyptic number.

21544344344512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21544344344512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23795263114992).

21544344344512 is an abundant number, since it is smaller than the sum of its proper divisors (26046181885472).

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

21544344344512 is a wasteful number, since it uses less digits than its factorization.

21544344344512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874278 (or 874268 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

It can be divided in two parts, 2154434 and 4344512, that added together give a palindrome (6498946).

The spelling of 21544344344512 in words is "twenty-one trillion, five hundred forty-four billion, three hundred forty-four million, three hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 176 212 352 424 583 661 704 848 1166 1322 1696 2332 2644 3392 4664 5288 7271 9328 10576 14542 18656 21152 29084 35033 37312 42304 58168 70066 116336 140132 232672 280264 385363 465344 560528 770726 873541 1121056 1541452 1747082 2242112 3082904 3494164 6165808 6988328 9608951 12331616 13976656 19217902 24663232 27953312 38435804 46297673 55906624 76871608 92595346 153743216 185190692 307486432 370381384 509274403 577410601 614972864 740762768 1018548806 1154821202 1481525536 2037097612 2309642404 2963051072 4074195224 4619284808 6351516611 8148390448 9238569616 12703033222 16296780896 18477139232 25406066444 30602761853 32593561792 36954278464 50812132888 61205523706 101624265776 122411047412 203248531552 244822094824 336630380383 406497063104 489644189648 673260760766 979288379296 1346521521532 1958576758592 2693043043064 5386086086128 10772172172256 21544344344512