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21679028644 = 22721328092
BaseRepresentation
bin10100001100001010…
…111011100110100100
32001221211220202112211
4110030022323212210
5323344312404034
613543104453204
71365140463100
oct241412734644
961854822484
1021679028644
1192152790a9
12425031a204
1320764c0900
1410992ac900
1586d37ad64
hex50c2bb9a4

21679028644 has 81 divisors (see below), whose sum is σ = 47847382947. Its totient is φ = 8565717888.

The previous prime is 21679028621. The next prime is 21679028647. The reversal of 21679028644 is 44682097612.

The square root of 21679028644 is 147238.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 37088100 + 21641940544 = 6090^2 + 147112^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (21679028647) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26796912 + ... + 26797720.

Almost surely, 221679028644 is an apocalyptic number.

21679028644 is the 147238-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21679028644

21679028644 is an abundant number, since it is smaller than the sum of its proper divisors (26168354303).

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

21679028644 is an equidigital number, since it uses as much as digits as its factorization.

21679028644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

Multiplying 21679028644 by its sum of digits (49), we get a square (1062272403556 = 10306662).

21679028644 divided by its sum of digits (49) gives a square (442429156 = 210342).

The spelling of 21679028644 in words is "twenty-one billion, six hundred seventy-nine million, twenty-eight thousand, six hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 809 1183 1274 1618 2366 2548 3236 4732 5663 8281 10517 11326 16562 21034 22652 33124 39641 42068 73619 79282 136721 147238 158564 273442 294476 515333 546884 654481 957047 1030666 1308962 1914094 2061332 2617924 3828188 4581367 6699329 8508253 9162734 13398658 17016506 18325468 26797316 32069569 34033012 59557771 64139138 110607289 119115542 128278276 221214578 238231084 416904397 442429156 774251023 833808794 1548502046 1667617588 3097004092 5419757161 10839514322 21679028644