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20289340880 = 2451727115503
BaseRepresentation
bin10010111001010101…
…101100010111010000
31221100222222022022122
4102321111230113100
5313023032402010
613153142553412
71315534360214
oct227125542720
957328868278
1020289340880
118671893116
123b22a38868
131bb4612b63
14da68c2944
157db371855
hex4b956c5d0

20289340880 has 80 divisors (see below), whose sum is σ = 49975087104. Its totient is φ = 7634135040.

The previous prime is 20289340843. The next prime is 20289340901. The reversal of 20289340880 is 8804398202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3684209 + ... + 3689711.

Almost surely, 220289340880 is an apocalyptic number.

20289340880 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 20289340880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24987543552).

20289340880 is an abundant number, since it is smaller than the sum of its proper divisors (29685746224).

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

20289340880 is a wasteful number, since it uses less digits than its factorization.

20289340880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8244 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 20289340880 in words is "twenty billion, two hundred eighty-nine million, three hundred forty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 2711 5422 5503 10844 11006 13555 21688 22012 27110 27515 43376 44024 46087 54220 55030 88048 92174 93551 108440 110060 184348 187102 216880 220120 230435 368696 374204 440240 460870 467755 737392 748408 921740 935510 1496816 1843480 1871020 3686960 3742040 7484080 14918633 29837266 59674532 74593165 119349064 149186330 238698128 253616761 298372660 507233522 596745320 1014467044 1193490640 1268083805 2028934088 2536167610 4057868176 5072335220 10144670440 20289340880