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20641894000 = 2453713113417
BaseRepresentation
bin10011001110010110…
…100100111001110000
31222021120100212021121
4103032112210321300
5314233311102000
613252135232024
71330345126660
oct231626447160
958246325247
1020641894000
1188328a1532
124000b18614
131c3c681180
14ddb6561a0
1580c2b1b1a
hex4ce5a4e70

20641894000 has 160 divisors (see below), whose sum is σ = 61430818176. Its totient is φ = 6532761600.

The previous prime is 20641893929. The next prime is 20641894043. The reversal of 20641894000 is 49814602.

It is a congruent number.

It is an unprimeable number.

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, 125292 + ... + 238708.

Almost surely, 220641894000 is an apocalyptic number.

20641894000 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 20641894000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30715409088).

20641894000 is an abundant number, since it is smaller than the sum of its proper divisors (40788924176).

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

20641894000 is a wasteful number, since it uses less digits than its factorization.

20641894000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113460 (or 113444 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 20641894000 in words is "twenty billion, six hundred forty-one million, eight hundred ninety-four thousand".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 125 130 140 175 182 200 208 250 260 280 325 350 364 400 455 500 520 560 650 700 728 875 910 1000 1040 1300 1400 1456 1625 1750 1820 2000 2275 2600 2800 3250 3500 3640 4550 5200 6500 7000 7280 9100 11375 13000 14000 18200 22750 26000 36400 45500 91000 113417 182000 226834 453668 567085 793919 907336 1134170 1474421 1587838 1814672 2268340 2835425 2948842 3175676 3969595 4536680 5670850 5897684 6351352 7372105 7939190 9073360 10320947 11341700 11795368 12702704 14177125 14744210 15878380 19847975 20641894 22683400 23590736 28354250 29488420 31756760 36860525 39695950 41283788 45366800 51604735 56708500 58976840 63513520 73721050 79391900 82567576 99239875 103209470 113417000 117953680 147442100 158783800 165135152 184302625 198479750 206418940 226834000 258023675 294884200 317567600 368605250 396959500 412837880 516047350 589768400 737210500 793919000 825675760 1032094700 1290118375 1474421000 1587838000 2064189400 2580236750 2948842000 4128378800 5160473500 10320947000 20641894000