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21380116884 = 22372167239911
BaseRepresentation
bin10011111010010110…
…101011000110010100
32001012000110110200220
4103322112223012110
5322241302220014
613453310034340
71354550665200
oct237226530624
961160413626
1021380116884
119081578295
1241881a89b0
1320295b4249
14106b6ddb00
15851ed46a9
hex4fa5ab194

21380116884 has 144 divisors (see below), whose sum is σ = 58687856640. Its totient is φ = 6039983040.

The previous prime is 21380116883. The next prime is 21380116987. The reversal of 21380116884 is 48861108312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21380116883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23468389 + ... + 23469299.

It is an arithmetic number, because the mean of its divisors is an integer number (407554560).

Almost surely, 221380116884 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 21380116884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29343928320).

21380116884 is an abundant number, since it is smaller than the sum of its proper divisors (37307739756).

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

21380116884 is a wasteful number, since it uses less digits than its factorization.

21380116884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 21380116884 in words is "twenty-one billion, three hundred eighty million, one hundred sixteen thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 167 196 239 294 334 478 501 588 668 717 911 956 1002 1169 1434 1673 1822 2004 2338 2733 2868 3346 3507 3644 4676 5019 5466 6377 6692 7014 8183 10038 10932 11711 12754 14028 16366 19131 20076 23422 24549 25508 32732 35133 38262 39913 44639 46844 49098 70266 76524 79826 89278 98196 119739 133917 140532 152137 159652 178556 217729 239478 267834 279391 304274 435458 456411 478956 535668 558782 608548 653187 838173 870916 912822 1064959 1117564 1306374 1524103 1676346 1825644 1955737 2129918 2612748 3048206 3194877 3352692 3911474 4259836 4572309 5867211 6096412 6389754 7454713 7822948 9144618 10668721 11734422 12779508 14909426 18289236 21337442 22364139 23468844 29818852 32006163 36360743 42674884 44728278 64012326 72721486 89456556 109082229 128024652 145442972 218164458 254525201 436328916 509050402 763575603 1018100804 1527151206 1781676407 3054302412 3563352814 5345029221 7126705628 10690058442 21380116884