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21341299824 = 2433136615749
BaseRepresentation
bin10011111000000010…
…100110010001110000
32001002022102100201000
4103320002212101300
5322201333043244
613445402042000
71353600025005
oct237002462160
961068370630
1021341299824
119061675479
1241771a9300
132021542c80
1410664b78ac
1584d8b8169
hex4f80a6470

21341299824 has 160 divisors (see below), whose sum is σ = 66080840000. Its totient is φ = 6555479040.

The previous prime is 21341299817. The next prime is 21341299831. The reversal of 21341299824 is 42899214312.

It is an interprime number because it is at equal distance from previous prime (21341299817) and next prime (21341299831).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21341299824.

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, 3709302 + ... + 3715050.

It is an arithmetic number, because the mean of its divisors is an integer number (413005250).

Almost surely, 221341299824 is an apocalyptic number.

21341299824 is a gapful number since it is divisible by the number (24) 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 21341299824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33040420000).

21341299824 is an abundant number, since it is smaller than the sum of its proper divisors (44739540176).

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

21341299824 is a wasteful number, since it uses less digits than its factorization.

21341299824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6440 (or 6428 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

It can be divided in two parts, 213412 and 99824, that added together give a triangular number (313236 = T791).

The spelling of 21341299824 in words is "twenty-one billion, three hundred forty-one million, two hundred ninety-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 661 702 936 1322 1404 1872 1983 2644 2808 3966 5288 5616 5749 5949 7932 8593 10576 11498 11898 15864 17186 17247 17847 22996 23796 25779 31728 34372 34494 35694 45992 47592 51558 51741 68744 68988 71388 74737 77337 91984 95184 103116 103482 137488 137976 142776 149474 154674 155223 206232 206964 224211 232011 275952 285552 298948 309348 310446 412464 413928 448422 464022 597896 618696 620892 672633 827856 896844 928044 1195792 1237392 1241784 1345266 1793688 1856088 2017899 2483568 2690532 3587376 3712176 3800089 4035798 5381064 7600178 8071596 10762128 11400267 15200356 16143192 22800534 30400712 32286384 34200801 45601068 49401157 60801424 68401602 91202136 98802314 102602403 136803204 148203471 182404272 197604628 205204806 273606408 296406942 395209256 410409612 444610413 547212816 592813884 790418512 820819224 889220826 1185627768 1333831239 1641638448 1778441652 2371255536 2667662478 3556883304 5335324956 7113766608 10670649912 21341299824