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20027617445080 = 2357829110977801
BaseRepresentation
bin1001000110111000010110…
…00001100000010011011000
32121220121210002120002010001
410203130023001200103120
510111113030031220310
6110332321015502344
74134643013312320
oct443341301402330
977817702502101
1020027617445080
116421734a24313
1222b55a06879b4
13b23799b8a70b
144d34b00a8280
1524ae6e73293a
hex12370b0604d8

20027617445080 has 128 divisors (see below), whose sum is σ = 51608867472000. Its totient is φ = 6852056371200.

The previous prime is 20027617445041. The next prime is 20027617445081. The reversal of 20027617445080 is 8054471672002.

It is a super-2 number, since 2×200276174450802 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20027617445080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20027617445081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257382180 + ... + 257459980.

It is an arithmetic number, because the mean of its divisors is an integer number (403194277125).

Almost surely, 220027617445080 is an apocalyptic number.

20027617445080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20027617445080 is an abundant number, since it is smaller than the sum of its proper divisors (31581250026920).

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

20027617445080 is a wasteful number, since it uses less digits than its factorization.

20027617445080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79757 (or 79753 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 20027617445080 in words is "twenty trillion, twenty-seven billion, six hundred seventeen million, four hundred forty-five thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 829 1109 1658 2218 3316 4145 4436 5545 5803 6632 7763 8290 8872 11090 11606 15526 16580 22180 23212 29015 31052 33160 38815 44360 46424 58030 62104 77630 77801 116060 155260 155602 232120 310520 311204 389005 544607 622408 778010 919361 1089214 1556020 1838722 2178428 2723035 3112040 3677444 4356856 4596805 5446070 6435527 7354888 9193610 10892140 12871054 18387220 21784280 25742108 32177635 36774440 51484216 64355270 64497029 86281309 128710540 128994058 172562618 257421080 257988116 322485145 345125236 431406545 451479203 515976232 603969163 644970290 690250472 862813090 902958406 1207938326 1289940580 1725626180 1805916812 2257396015 2415876652 2579881160 3019845815 3451252360 3611833624 4514792030 4831753304 6039691630 9029584060 12079383260 18059168120 24158766520 71527205161 143054410322 286108820644 357636025805 500690436127 572217641288 715272051610 1001380872254 1430544103220 2002761744508 2503452180635 2861088206440 4005523489016 5006904361270 10013808722540 20027617445080