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21409671312 = 24322919925763
BaseRepresentation
bin10011111100000111…
…011010100010010000
32001021002001222202100
4103330013122202100
5322321333440222
613500243320400
71355360126541
oct237407324220
961232058670
1021409671312
119097223a37
124196080100
132032761483
1410715d44c8
158548c14ac
hex4fc1da890

21409671312 has 120 divisors (see below), whose sum is σ = 62297352000. Its totient is φ = 6855577344.

The previous prime is 21409671277. The next prime is 21409671313. The reversal of 21409671312 is 21317690412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21409671313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 818143 + ... + 843905.

It is an arithmetic number, because the mean of its divisors is an integer number (519144600).

Almost surely, 221409671312 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 21409671312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31148676000).

21409671312 is an abundant number, since it is smaller than the sum of its proper divisors (40887680688).

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

21409671312 is a wasteful number, since it uses less digits than its factorization.

21409671312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26005 (or 25996 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 21409671312 in words is "twenty-one billion, four hundred nine million, six hundred seventy-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 199 232 261 348 398 464 522 597 696 796 1044 1194 1392 1592 1791 2088 2388 3184 3582 4176 4776 5771 7164 9552 11542 14328 17313 23084 25763 28656 34626 46168 51526 51939 69252 77289 92336 103052 103878 138504 154578 206104 207756 231867 277008 309156 412208 415512 463734 618312 747127 831024 927468 1236624 1494254 1854936 2241381 2988508 3709872 4482762 5126837 5977016 6724143 8965524 10253674 11954032 13448286 15380511 17931048 20507348 26896572 30761022 35862096 41014696 46141533 53793144 61522044 82029392 92283066 107586288 123044088 148678273 184566132 246088176 297356546 369132264 446034819 594713092 738264528 892069638 1189426184 1338104457 1784139276 2378852368 2676208914 3568278552 5352417828 7136557104 10704835656 21409671312