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87681721000 = 235387681721
BaseRepresentation
bin101000110101000111…
…1001110001010101000
322101022200121221012011
41101222033032022220
52414033010033000
6104140323325304
76222556221436
oct1215217161250
9271280557164
1087681721000
1134205055835
1214bb0520834
13836474a163
14435b071d56
152432a992ba
hex146a3ce2a8

87681721000 has 32 divisors (see below), whose sum is σ = 205175229480. Its totient is φ = 35072688000.

The previous prime is 87681720979. The next prime is 87681721019. The reversal of 87681721000 is 12718678.

It can be written as a sum of positive squares in 4 ways, for example, as 6227419396 + 81454301604 = 78914^2 + 285402^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 43839861 + ... + 43841860.

Almost surely, 287681721000 is an apocalyptic number.

It is an amenable number.

87681721000 is an abundant number, since it is smaller than the sum of its proper divisors (117493508480).

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

87681721000 is a wasteful number, since it uses less digits than its factorization.

87681721000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87681742 (or 87681728 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 40.

The spelling of 87681721000 in words is "eighty-seven billion, six hundred eighty-one million, seven hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 87681721 175363442 350726884 438408605 701453768 876817210 1753634420 2192043025 3507268840 4384086050 8768172100 10960215125 17536344200 21920430250 43840860500 87681721000