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21241209312 = 25352731637
BaseRepresentation
bin10011110010000100…
…110010000111100000
32000211100002020100000
4103302010302013200
5322000222144222
613431424500000
71351243204641
oct236204620740
960740066300
1021241209312
119010121a44
12414977a600
13200689a20b
1410570a16c8
15844be69ac
hex4f21321e0

21241209312 has 72 divisors (see below), whose sum is σ = 62641922616. Its totient is φ = 7080400512.

The previous prime is 21241209271. The next prime is 21241209337. The reversal of 21241209312 is 21390214212.

21241209312 is a `hidden beast` number, since 212 + 412 + 0 + 9 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1358043 + ... + 1373594.

It is an arithmetic number, because the mean of its divisors is an integer number (870026703).

Almost surely, 221241209312 is an apocalyptic number.

It is an amenable number.

21241209312 is an abundant number, since it is smaller than the sum of its proper divisors (41400713304).

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

21241209312 is an equidigital number, since it uses as much as digits as its factorization.

21241209312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731662 (or 2731642 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 21241209312 in words is "twenty-one billion, two hundred forty-one million, two hundred nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 2731637 5463274 8194911 10926548 16389822 21853096 24584733 32779644 43706192 49169466 65559288 73754199 87412384 98338932 131118576 147508398 196677864 221262597 262237152 295016796 393355728 442525194 590033592 663787791 786711456 885050388 1180067184 1327575582 1770100776 2360134368 2655151164 3540201552 5310302328 7080403104 10620604656 21241209312