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21705512620 = 225111722314843
BaseRepresentation
bin10100001101101111…
…111101011010101100
32002000200202021201211
4110031233331122230
5323423102400440
613545452244204
71365611545621
oct241557753254
962020667654
1021705512620
119229217990
124259170664
13207bb343bc
14109ca04348
1587085ceea
hex50dbfd6ac

21705512620 has 144 divisors (see below), whose sum is σ = 55122778368. Its totient is φ = 7105162240.

The previous prime is 21705512611. The next prime is 21705512639. The reversal of 21705512620 is 2621550712.

It is a super-2 number, since 2×217055126202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1454919 + ... + 1469761.

It is an arithmetic number, because the mean of its divisors is an integer number (382797072).

Almost surely, 221705512620 is an apocalyptic number.

21705512620 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 21705512620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27561389184).

21705512620 is an abundant number, since it is smaller than the sum of its proper divisors (33417265748).

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

21705512620 is a wasteful number, since it uses less digits than its factorization.

21705512620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14920 (or 14901 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The spelling of 21705512620 in words is "twenty-one billion, seven hundred five million, five hundred twelve thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 23 34 44 46 55 68 85 92 110 115 170 187 220 230 253 289 340 374 391 460 506 578 748 782 935 1012 1156 1265 1445 1564 1870 1955 2530 2890 3179 3740 3910 4301 5060 5780 6358 6647 7820 8602 12716 13294 14843 15895 17204 21505 26588 29686 31790 33235 43010 59372 63580 66470 73117 74215 86020 132940 146234 148430 163273 252331 292468 296860 326546 341389 365585 504662 653092 682778 731170 816365 1009324 1261655 1365556 1462340 1632730 1706945 2523310 2775641 3265460 3413890 3755279 4289627 5046620 5551282 5803613 6827780 7510558 8579254 11102564 11607226 13878205 15021116 17158508 18776395 21448135 23214452 27756410 29018065 37552790 42896270 47185897 55512820 58036130 63839743 75105580 85792540 94371794 98661421 116072260 127679486 188743588 197322842 235929485 255358972 319198715 394645684 471858970 493307105 638397430 943717940 986614210 1085275631 1276794860 1973228420 2170551262 4341102524 5426378155 10852756310 21705512620