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21365943480 = 233457942061
BaseRepresentation
bin10011111001100000…
…100110110010111000
32001011000210101110000
4103321200212302320
5322224140142410
613452042153000
71354316344260
oct237140466270
961130711400
1021365943480
119074577632
1241834b2760
132026690c0b
1410698907a0
15850b34dc0
hex4f9826cb8

21365943480 has 160 divisors (see below), whose sum is σ = 82072441440. Its totient is φ = 4883639040.

The previous prime is 21365943463. The next prime is 21365943481. The reversal of 21365943480 is 8434956312.

21365943480 is a `hidden beast` number, since 2 + 13 + 6 + 594 + 3 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21365943481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 448351 + ... + 493710.

It is an arithmetic number, because the mean of its divisors is an integer number (512952759).

Almost surely, 221365943480 is an apocalyptic number.

21365943480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21365943480 is an abundant number, since it is smaller than the sum of its proper divisors (60706497960).

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

21365943480 is a wasteful number, since it uses less digits than its factorization.

21365943480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942091 (or 942078 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 21365943480 in words is "twenty-one billion, three hundred sixty-five million, nine hundred forty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 942061 1884122 2826183 3768244 4710305 5652366 6594427 7536488 8478549 9420610 11304732 13188854 14130915 16957098 18841220 19783281 22609464 25435647 26377708 28261830 32972135 33914196 37682440 39566562 42392745 50871294 52755416 56523660 59349843 65944270 67828392 76306941 79133124 84785490 98916405 101742588 113047320 118699686 127178235 131888540 152613882 158266248 169570980 178049529 197832810 203485176 237399372 254356470 263777080 296749215 305227764 339141960 356099058 381534705 395665620 474798744 508712940 534148587 593498430 610455528 712198116 763069410 791331240 890247645 1017425880 1068297174 1186996860 1424396232 1526138820 1780495290 2136594348 2373993720 2670742935 3052277640 3560990580 4273188696 5341485870 7121981160 10682971740 21365943480