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287102001088 = 2672727125929
BaseRepresentation
bin1000010110110001001…
…11001101111111000000
31000110001122001210110201
410023120213031333000
514200441103013323
6335520504134544
726512440513100
oct4133047157700
91013048053421
10287102001088
1110083965a871
1247785a67454
13210c59214a6
14dc78169200
1577051a98ad
hex42d89cdfc0

287102001088 has 84 divisors (see below), whose sum is σ = 663650092560. Its totient is φ = 122873490432.

The previous prime is 287102001083. The next prime is 287102001139. The reversal of 287102001088 is 880100201782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287102001083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2216908 + ... + 2342836.

It is an arithmetic number, because the mean of its divisors is an integer number (7900596340).

Almost surely, 2287102001088 is an apocalyptic number.

287102001088 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 287102001088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331825046280).

287102001088 is an abundant number, since it is smaller than the sum of its proper divisors (376548091472).

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

287102001088 is a wasteful number, since it uses less digits than its factorization.

287102001088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126682 (or 126665 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 37.

The spelling of 287102001088 in words is "two hundred eighty-seven billion, one hundred two million, one thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 727 784 1454 1568 2908 3136 5089 5816 10178 11632 20356 23264 35623 40712 46528 71246 81424 125929 142492 162848 251858 284984 325696 503716 569968 881503 1007432 1139936 1763006 2014864 2279872 3526012 4029728 6170521 7052024 8059456 12341042 14104048 24682084 28208096 49364168 56416192 91550383 98728336 183100766 197456672 366201532 394913344 640852681 732403064 1281705362 1464806128 2563410724 2929612256 4485968767 5126821448 5859224512 8971937534 10253642896 17943875068 20507285792 35887750136 41014571584 71775500272 143551000544 287102001088