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21709578816 = 2632172217073
BaseRepresentation
bin10100001101111111…
…011110001001000000
32002000222101212111200
4110031333132021000
5323430123010231
613550115341200
71365661242462
oct241577361100
962028355450
1021709578816
119230544982
12425a5b1800
13207c929133
14109d382132
15870db2be6
hex50dfde240

21709578816 has 84 divisors (see below), whose sum is σ = 65887005132. Its totient is φ = 6810845184.

The previous prime is 21709578811. The next prime is 21709578841. The reversal of 21709578816 is 61887590712.

It can be written as a sum of positive squares in 2 ways, for example, as 8299938816 + 13409640000 = 91104^2 + 115800^2 .

It is not an unprimeable number, because it can be changed into a prime (21709578811) 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 11 ways as a sum of consecutive naturals, for example, 1098745 + ... + 1118328.

Almost surely, 221709578816 is an apocalyptic number.

It is an amenable number.

21709578816 is an abundant number, since it is smaller than the sum of its proper divisors (44177426316).

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

21709578816 is a wasteful number, since it uses less digits than its factorization.

21709578816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217108 (or 2217095 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 21709578816 in words is "twenty-one billion, seven hundred nine million, five hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 2217073 4434146 6651219 8868292 13302438 17736584 19953657 26604876 35473168 37690241 39907314 53209752 70946336 75380482 79814628 106419504 113070723 141892672 150760964 159629256 212839008 226141446 301521928 319258512 339212169 425678016 452282892 603043856 638517024 678424338 904565784 1206087712 1277034048 1356848676 1809131568 2412175424 2713697352 3618263136 5427394704 7236526272 10854789408 21709578816