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20289117120 = 263521134497
BaseRepresentation
bin10010111001010100…
…110101101111000000
31221100222112221101020
4102321110311233000
5313023003221440
613153134105440
71315532435646
oct227124655700
957328487336
1020289117120
11867174aa98
123b2294b280
131bb456505c
14da6865196
157db32a3d0
hex4b9535bc0

20289117120 has 56 divisors (see below), whose sum is σ = 64417949904. Its totient is φ = 5410430976.

The previous prime is 20289117091. The next prime is 20289117127. The reversal of 20289117120 is 2171198202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20289117127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10566289 + ... + 10568208.

It is an arithmetic number, because the mean of its divisors is an integer number (1150320534).

Almost surely, 220289117120 is an apocalyptic number.

20289117120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20289117120 is an abundant number, since it is smaller than the sum of its proper divisors (44128832784).

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

20289117120 is a wasteful number, since it uses less digits than its factorization.

20289117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21134517 (or 21134507 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 20289117120 in words is "twenty billion, two hundred eighty-nine million, one hundred seventeen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 21134497 42268994 63403491 84537988 105672485 126806982 169075976 211344970 253613964 317017455 338151952 422689940 507227928 634034910 676303904 845379880 1014455856 1268069820 1352607808 1690759760 2028911712 2536139640 3381519520 4057823424 5072279280 6763039040 10144558560 20289117120