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20603394560 = 29572164249
BaseRepresentation
bin10011001100000011…
…101101101000000000
31222011212220212222102
4103030003231220000
5314143432111220
613244242125532
71326366651500
oct231403555000
958155825872
1020603394560
118813096311
123bb00508a8
131c346c1638
14dd64b3a00
15808c09775
hex4cc0eda00

20603394560 has 120 divisors (see below), whose sum is σ = 57465490500. Its totient is φ = 7063977984.

The previous prime is 20603394547. The next prime is 20603394563. The reversal of 20603394560 is 6549330602.

It can be written as a sum of positive squares in 2 ways, for example, as 16850116864 + 3753277696 = 129808^2 + 61264^2 .

It is not an unprimeable number, because it can be changed into a prime (20603394563) 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 11 ways as a sum of consecutive naturals, for example, 43316 + ... + 207564.

Almost surely, 220603394560 is an apocalyptic number.

20603394560 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 20603394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28732745250).

20603394560 is an abundant number, since it is smaller than the sum of its proper divisors (36862095940).

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

20603394560 is an equidigital number, since it uses as much as digits as its factorization.

20603394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164286 (or 164263 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 38.

The spelling of 20603394560 in words is "twenty billion, six hundred three million, three hundred ninety-four thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1120 1280 1568 1792 1960 2240 2560 3136 3584 3920 4480 6272 7840 8960 12544 15680 17920 25088 31360 62720 125440 164249 328498 656996 821245 1149743 1313992 1642490 2299486 2627984 3284980 4598972 5255968 5748715 6569960 8048201 9197944 10511936 11497430 13139920 16096402 18395888 21023872 22994860 26279840 32192804 36791776 40241005 42047744 45989720 52559680 64385608 73583552 80482010 84095488 91979440 105119360 128771216 147167104 160964020 183958880 210238720 257542432 294334208 321928040 367917760 420477440 515084864 588668416 643856080 735835520 1030169728 1287712160 1471671040 2060339456 2575424320 2943342080 4120678912 5150848640 10301697280 20603394560