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21297316096 = 287213032
BaseRepresentation
bin10011110101011010…
…110100000100000000
32000222020122202101001
4103311122310010000
5322104103103341
613441151221344
71352524125400
oct236532640400
960866582331
1021297316096
119039863891
124164517854
1320153b30b4
141060708800
15849acad31
hex4f56b4100

21297316096 has 81 divisors (see below), whose sum is σ = 49490064351. Its totient is φ = 9120416256.

The previous prime is 21297316093. The next prime is 21297316097. The reversal of 21297316096 is 69061379212.

It is a happy number.

The square root of 21297316096 is 145936.

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

It is not an unprimeable number, because it can be changed into a prime (21297316091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16344181 + ... + 16345483.

Almost surely, 221297316096 is an apocalyptic number.

21297316096 is the 145936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21297316096

21297316096 is an abundant number, since it is smaller than the sum of its proper divisors (28192748255).

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

21297316096 is an frugal number, since it uses more digits than its factorization.

21297316096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The spelling of 21297316096 in words is "twenty-one billion, two hundred ninety-seven million, three hundred sixteen thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1303 1568 1792 2606 3136 5212 6272 9121 10424 12544 18242 20848 36484 41696 63847 72968 83392 127694 145936 166784 255388 291872 333568 510776 583744 1021552 1167488 1697809 2043104 2334976 3395618 4086208 6791236 8172416 11884663 13582472 16344832 23769326 27164944 47538652 54329888 83192641 95077304 108659776 166385282 190154608 217319552 332770564 380309216 434639104 665541128 760618432 1331082256 1521236864 2662164512 3042473728 5324329024 10648658048 21297316096