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20068871200 = 255272511961
BaseRepresentation
bin10010101100001100…
…101010110000100000
31220210122010021202221
4102230030222300200
5312100112334300
613115225320424
71310216406400
oct225414526040
956718107687
1020068871200
118569399a74
123a81036114
131b7aa3c721
14d854d2800
157c6d2231a
hex4ac32ac20

20068871200 has 108 divisors (see below), whose sum is σ = 56992121802. Its totient is φ = 6880742400.

The previous prime is 20068871159. The next prime is 20068871209. The reversal of 20068871200 is 217886002.

It can be written as a sum of positive squares in 3 ways, for example, as 10393394704 + 9675476496 = 101948^2 + 98364^2 .

It is not an unprimeable number, because it can be changed into a prime (20068871209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 216781 + ... + 295180.

Almost surely, 220068871200 is an apocalyptic number.

20068871200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20068871200 is an abundant number, since it is smaller than the sum of its proper divisors (36923250602).

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

20068871200 is a wasteful number, since it uses less digits than its factorization.

20068871200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511995 (or 511975 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 20068871200 in words is "twenty billion, sixty-eight million, eight hundred seventy-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 140 160 175 196 200 224 245 280 350 392 400 490 560 700 784 800 980 1120 1225 1400 1568 1960 2450 2800 3920 4900 5600 7840 9800 19600 39200 511961 1023922 2047844 2559805 3583727 4095688 5119610 7167454 8191376 10239220 12799025 14334908 16382752 17918635 20478440 25086089 25598050 28669816 35837270 40956880 50172178 51196100 57339632 71674540 81913760 89593175 100344356 102392200 114679264 125430445 143349080 179186350 200688712 204784400 250860890 286698160 358372700 401377424 409568800 501721780 573396320 627152225 716745400 802754848 1003443560 1254304450 1433490800 2006887120 2508608900 2866981600 4013774240 5017217800 10034435600 20068871200