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20278591488 = 2143345841
BaseRepresentation
bin10010111000101100…
…101100000000000000
31221100020202011221000
4102320230230000000
5313012304411423
613152120332000
71315344116661
oct227054540000
957306664830
1020278591488
118666810a21
123b1b314000
131bb231b17c
14da52c5368
157da44b843
hex4b8b2c000

20278591488 has 120 divisors (see below), whose sum is σ = 60084192560. Its totient is φ = 6759383040.

The previous prime is 20278591387. The next prime is 20278591507. The reversal of 20278591488 is 88419587202.

20278591488 is a `hidden beast` number, since 2 + 0 + 2 + 7 + 8 + 591 + 48 + 8 = 666.

It is a super-2 number, since 2×202785914882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419448 + ... + 465288.

Almost surely, 220278591488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20278591488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30042096280).

20278591488 is an abundant number, since it is smaller than the sum of its proper divisors (39805601072).

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

20278591488 is an frugal number, since it uses more digits than its factorization.

20278591488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45878 (or 45846 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 20278591488 in words is "twenty billion, two hundred seventy-eight million, five hundred ninety-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 12288 13824 16384 18432 24576 27648 36864 45841 49152 55296 73728 91682 110592 137523 147456 183364 221184 275046 366728 412569 442368 550092 733456 825138 1100184 1237707 1466912 1650276 2200368 2475414 2933824 3300552 4400736 4950828 5867648 6601104 8801472 9901656 11735296 13202208 17602944 19803312 23470592 26404416 35205888 39606624 46941184 52808832 70411776 79213248 93882368 105617664 140823552 158426496 187764736 211235328 281647104 316852992 375529472 422470656 563294208 633705984 751058944 844941312 1126588416 1267411968 1689882624 2253176832 2534823936 3379765248 5069647872 6759530496 10139295744 20278591488