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20286946848 = 2537137220357
BaseRepresentation
bin10010111001001100…
…100011111000100000
31221100211110200022210
4102321030203320200
5313021424244343
613153015402120
71315505126430
oct227114437040
957324420283
1020286946848
1186704a8483
123b22083340
131bb3c8527c
14da645c2c0
157db04c333
hex4b9323e20

20286946848 has 96 divisors (see below), whose sum is σ = 61305358464. Its totient is φ = 5753935872.

The previous prime is 20286946831. The next prime is 20286946859. The reversal of 20286946848 is 84864968202.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18115 + ... + 202242.

It is an arithmetic number, because the mean of its divisors is an integer number (638597484).

Almost surely, 220286946848 is an apocalyptic number.

20286946848 is a gapful number since it is divisible by the number (28) 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 20286946848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30652679232).

20286946848 is an abundant number, since it is smaller than the sum of its proper divisors (41018411616).

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

20286946848 is a wasteful number, since it uses less digits than its factorization.

20286946848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220514 (or 220506 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 57.

The spelling of 20286946848 in words is "twenty billion, two hundred eighty-six million, nine hundred forty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 137 168 224 274 336 411 548 672 822 959 1096 1644 1918 2192 2877 3288 3836 4384 5754 6576 7672 11508 13152 15344 23016 30688 46032 92064 220357 440714 661071 881428 1322142 1542499 1762856 2644284 3084998 3525712 4627497 5288568 6169996 7051424 9254994 10577136 12339992 18509988 21154272 24679984 30188909 37019976 49359968 60377818 74039952 90566727 120755636 148079904 181133454 211322363 241511272 362266908 422644726 483022544 633967089 724533816 845289452 966045088 1267934178 1449067632 1690578904 2535868356 2898135264 3381157808 5071736712 6762315616 10143473424 20286946848