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21705393696 = 2537117127583
BaseRepresentation
bin10100001101101111…
…100000011000100000
32002000200112020121020
4110031233200120200
5323423040044241
613545445525440
71365610542120
oct241557403040
962020466536
1021705393696
1192291465a8
124259113880
13207bac222c
14109c9b2c80
15870837b66
hex50dbe0620

21705393696 has 96 divisors (see below), whose sum is σ = 65174151168. Its totient is φ = 6196020480.

The previous prime is 21705393691. The next prime is 21705393713. The reversal of 21705393696 is 69639350712.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×217053936962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21705393691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773121 + ... + 800703.

It is an arithmetic number, because the mean of its divisors is an integer number (678897408).

Almost surely, 221705393696 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 21705393696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32587075584).

21705393696 is an abundant number, since it is smaller than the sum of its proper divisors (43468757472).

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

21705393696 is a wasteful number, since it uses less digits than its factorization.

21705393696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28774 (or 28766 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 51.

The spelling of 21705393696 in words is "twenty-one billion, seven hundred five million, three hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1171 2342 3513 4684 7026 8197 9368 14052 16394 18736 24591 27583 28104 32788 37472 49182 55166 56208 65576 82749 98364 110332 112416 131152 165498 193081 196728 220664 262304 330996 386162 393456 441328 579243 661992 772324 786912 882656 1158486 1323984 1544648 2316972 2647968 3089296 4633944 6178592 9267888 18535776 32299693 64599386 96899079 129198772 193798158 226097851 258397544 387596316 452195702 516795088 678293553 775192632 904391404 1033590176 1356587106 1550385264 1808782808 2713174212 3100770528 3617565616 5426348424 7235131232 10852696848 21705393696