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20294109800 = 23522310694127
BaseRepresentation
bin10010111001100111…
…111000101001101000
31221101022221121001022
4102321213320221220
5313030243003200
613153433112012
71315623041606
oct227147705150
957338847038
1020294109800
118674550078
123b24558608
131bb55c26c3
14da73a4876
157db9b4885
hex4b99f8a68

20294109800 has 96 divisors (see below), whose sum is σ = 49293273600. Its totient is φ = 7755559680.

The previous prime is 20294109799. The next prime is 20294109809. The reversal of 20294109800 is 890149202.

It is not an unprimeable number, because it can be changed into a prime (20294109809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4915337 + ... + 4919463.

It is an arithmetic number, because the mean of its divisors is an integer number (513471600).

Almost surely, 220294109800 is an apocalyptic number.

20294109800 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 20294109800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24646636800).

20294109800 is an abundant number, since it is smaller than the sum of its proper divisors (28999163800).

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

20294109800 is a wasteful number, since it uses less digits than its factorization.

20294109800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5235 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 20294109800 in words is "twenty billion, two hundred ninety-four million, one hundred nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1069 1150 2138 2300 4127 4276 4600 5345 8254 8552 10690 16508 20635 21380 24587 26725 33016 41270 42760 49174 53450 82540 94921 98348 103175 106900 122935 165080 189842 196696 206350 213800 245870 379684 412700 474605 491740 614675 759368 825400 949210 983480 1229350 1898420 2373025 2458700 3796840 4411763 4746050 4917400 8823526 9492100 17647052 18984200 22058815 35294104 44117630 88235260 101470549 110294075 176470520 202941098 220588150 405882196 441176300 507352745 811764392 882352600 1014705490 2029410980 2536763725 4058821960 5073527450 10147054900 20294109800