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21685726320 = 2435178276427
BaseRepresentation
bin10100001100100100…
…011110110001110000
32001222022112001000220
4110030210132301300
5323403021220240
613543504213040
71365251426616
oct241444366160
961868461026
1021685726320
119219033175
12425260a180
1320779c732b
14109a1336b6
1586dc505d0
hex50c91ec70

21685726320 has 160 divisors (see below), whose sum is σ = 71277366528. Its totient is φ = 5435265024.

The previous prime is 21685726277. The next prime is 21685726339. The reversal of 21685726320 is 2362758612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3370947 + ... + 3377373.

Almost surely, 221685726320 is an apocalyptic number.

21685726320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21685726320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35638683264).

21685726320 is an abundant number, since it is smaller than the sum of its proper divisors (49591640208).

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

21685726320 is a wasteful number, since it uses less digits than its factorization.

21685726320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7287 (or 7281 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 21685726320 in words is "twenty-one billion, six hundred eighty-five million, seven hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 827 1020 1360 1654 2040 2481 3308 4080 4135 4962 6427 6616 8270 9924 12405 12854 13232 14059 16540 19281 19848 24810 25708 28118 32135 33080 38562 39696 42177 49620 51416 56236 64270 66160 70295 77124 84354 96405 99240 102832 109259 112472 128540 140590 154248 168708 192810 198480 210885 218518 224944 257080 281180 308496 327777 337416 385620 421770 437036 514160 546295 562360 655554 674832 771240 843540 874072 1092590 1124720 1311108 1542480 1638885 1687080 1748144 2185180 2622216 3277770 3374160 4370360 5244432 5315129 6555540 8740720 10630258 13111080 15945387 21260516 26222160 26575645 31890774 42521032 53151290 63781548 79726935 85042064 90357193 106302580 127563096 159453870 180714386 212605160 255126192 271071579 318907740 361428772 425210320 451785965 542143158 637815480 722857544 903571930 1084286316 1275630960 1355357895 1445715088 1807143860 2168572632 2710715790 3614287720 4337145264 5421431580 7228575440 10842863160 21685726320