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22685077728 = 253416353693
BaseRepresentation
bin10101001000001000…
…101101000011100000
32011112221222100110000
4111020020231003200
5332424334441403
614231003540000
71432104656565
oct251010550340
964487870400
1022685077728
119691153725
12449122a600
1321a6a68221
141152b5286c
158cb8547a3
hex54822d0e0

22685077728 has 120 divisors (see below), whose sum is σ = 67126735368. Its totient is φ = 7515161856.

The previous prime is 22685077643. The next prime is 22685077777. The reversal of 22685077728 is 82777058622.

22685077728 is a `hidden beast` number, since 2 + 2 + 68 + 507 + 7 + 72 + 8 = 666.

It is a super-2 number, since 2×226850777282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 395650 + ... + 449342.

Almost surely, 222685077728 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 22685077728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33563367684).

22685077728 is an abundant number, since it is smaller than the sum of its proper divisors (44441657640).

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

22685077728 is a wasteful number, since it uses less digits than its factorization.

22685077728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53878 (or 53861 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 22685077728 in words is "twenty-two billion, six hundred eighty-five million, seventy-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 163 216 288 324 326 432 489 648 652 864 978 1296 1304 1467 1956 2592 2608 2934 3912 4401 5216 5868 7824 8802 11736 13203 15648 17604 23472 26406 35208 46944 52812 53693 70416 105624 107386 140832 161079 211248 214772 322158 422496 429544 483237 644316 859088 966474 1288632 1449711 1718176 1932948 2577264 2899422 3865896 4349133 5154528 5798844 7731792 8698266 8751959 11597688 15463584 17396532 17503918 23195376 26255877 34793064 35007836 46390752 52511754 69586128 70015672 78767631 105023508 139172256 140031344 157535262 210047016 236302893 280062688 315070524 420094032 472605786 630141048 708908679 840188064 945211572 1260282096 1417817358 1890423144 2520564192 2835634716 3780846288 5671269432 7561692576 11342538864 22685077728