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20540894100 = 22352374739373
BaseRepresentation
bin10011001000010101…
…010010101110010100
31222000112022112110120
4103020111102232110
5314031432102400
613234130351540
71325010501426
oct231025225624
958015275416
1020540894100
118790887841
123b9312b5b0
131c2477a50c
14dcc084816
158034b0ca0
hex4c8552b94

20540894100 has 144 divisors (see below), whose sum is σ = 62338176768. Its totient is φ = 5216002560.

The previous prime is 20540894093. The next prime is 20540894149. The reversal of 20540894100 is 149804502.

It is a congruent number.

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, 502014 + ... + 541386.

Almost surely, 220540894100 is an apocalyptic number.

20540894100 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 20540894100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31169088384).

20540894100 is an abundant number, since it is smaller than the sum of its proper divisors (41797282668).

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

20540894100 is a wasteful number, since it uses less digits than its factorization.

20540894100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39474 (or 39467 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 20540894100 in words is "twenty billion, five hundred forty million, eight hundred ninety-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 47 50 60 74 75 94 100 111 141 148 150 185 188 222 235 282 300 370 444 470 555 564 705 740 925 940 1110 1175 1410 1739 1850 2220 2350 2775 2820 3478 3525 3700 4700 5217 5550 6956 7050 8695 10434 11100 14100 17390 20868 26085 34780 39373 43475 52170 78746 86950 104340 118119 130425 157492 173900 196865 236238 260850 393730 472476 521700 590595 787460 984325 1181190 1456801 1850531 1968650 2362380 2913602 2952975 3701062 3937300 4370403 5551593 5827204 5905950 7284005 7402124 8740806 9252655 11103186 11811900 14568010 17481612 18505310 21852015 22206372 27757965 29136020 36420025 37010620 43704030 46263275 55515930 68469647 72840050 87408060 92526550 109260075 111031860 136939294 138789825 145680100 185053100 205408941 218520150 273878588 277579650 342348235 410817882 437040300 555159300 684696470 821635764 1027044705 1369392940 1711741175 2054089410 3423482350 4108178820 5135223525 6846964700 10270447050 20540894100