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21481737340 = 22572335318899
BaseRepresentation
bin10100000000011010…
…010100110001111100
32001110002200022202111
4110000122110301330
5322443311043330
613511340103404
71360223516560
oct240032246174
961402608674
1021481737340
119123976238
1241b6234b64
1320446744ab
14107add36a0
1585ada932a
hex500694c7c

21481737340 has 96 divisors (see below), whose sum is σ = 53952998400. Its totient is φ = 7024613376.

The previous prime is 21481737293. The next prime is 21481737367. The reversal of 21481737340 is 4373718412.

It is a super-2 number, since 2×214817373402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21481737293 and 21481737302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1127211 + ... + 1146109.

It is an arithmetic number, because the mean of its divisors is an integer number (562010400).

Almost surely, 221481737340 is an apocalyptic number.

21481737340 is a gapful number since it is divisible by the number (20) 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 21481737340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26976499200).

21481737340 is an abundant number, since it is smaller than the sum of its proper divisors (32471261060).

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

21481737340 is a wasteful number, since it uses less digits than its factorization.

21481737340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19291 (or 19289 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 21481737340 in words is "twenty-one billion, four hundred eighty-one million, seven hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 353 460 644 706 805 1412 1610 1765 2471 3220 3530 4942 7060 8119 9884 12355 16238 18899 24710 32476 37798 40595 49420 56833 75596 81190 94495 113666 132293 162380 188990 227332 264586 284165 377980 434677 529172 568330 661465 869354 1136660 1322930 1738708 2173385 2645860 3042739 4346770 6085478 6671347 8693540 12170956 13342694 15213695 26685388 30427390 33356735 46699429 60854780 66713470 93398858 133426940 153440981 186797716 233497145 306881962 466994290 613763924 767204905 933988580 1074086867 1534409810 2148173734 3068819620 4296347468 5370434335 10740868670 21481737340