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20997173600 = 25521319106261
BaseRepresentation
bin10011100011100001…
…110111000101100000
32000012022212221021022
4103203201313011200
5321000234023400
613351310145012
71342221013364
oct234341670540
960168787238
1020997173600
1189a53a2337
12409bab2168
131c981654a0
1410328d92a4
1582d58eb85
hex4e3877160

20997173600 has 144 divisors (see below), whose sum is σ = 58108312080. Its totient is φ = 7344691200.

The previous prime is 20997173551. The next prime is 20997173627. The reversal of 20997173600 is 637179902.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144470 + ... + 250730.

It is an arithmetic number, because the mean of its divisors is an integer number (403529945).

Almost surely, 220997173600 is an apocalyptic number.

20997173600 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 20997173600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29054156040).

20997173600 is an abundant number, since it is smaller than the sum of its proper divisors (37111138480).

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

20997173600 is a wasteful number, since it uses less digits than its factorization.

20997173600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106313 (or 106300 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 44.

The spelling of 20997173600 in words is "twenty billion, nine hundred ninety-seven million, one hundred seventy-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 65 76 80 95 100 104 130 152 160 190 200 208 247 260 304 325 380 400 416 475 494 520 608 650 760 800 950 988 1040 1235 1300 1520 1900 1976 2080 2470 2600 3040 3800 3952 4940 5200 6175 7600 7904 9880 10400 12350 15200 19760 24700 39520 49400 98800 106261 197600 212522 425044 531305 850088 1062610 1381393 1700176 2018959 2125220 2656525 2762786 3400352 4037918 4250440 5313050 5525572 6906965 8075836 8500880 10094795 10626100 11051144 13813930 16151672 17001760 20189590 21252200 22102288 26246467 27627860 32303344 34534825 40379180 42504400 44204576 50473975 52492934 55255720 64606688 69069650 80758360 85008800 100947950 104985868 110511440 131232335 138139300 161516720 201895900 209971736 221022880 262464670 276278600 323033440 403791800 419943472 524929340 552557200 656161675 807583600 839886944 1049858680 1105114400 1312323350 1615167200 2099717360 2624646700 4199434720 5249293400 10498586800 20997173600