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87950000000 = 27581759
BaseRepresentation
bin101000111101000111…
…0100111111110000000
322102000101102220210102
41101322032213332000
52420110200000000
6104223105421532
76232324444112
oct1217216477600
9272011386712
1087950000000
1134332533815
121506633a8a8
1383a81bc825
1443849493b2
15244b3de3d5
hex147a3a7f80

87950000000 has 144 divisors (see below), whose sum is σ = 219140512800. Its totient is φ = 35160000000.

The previous prime is 87949999939. The next prime is 87950000003. The reversal of 87950000000 is 5978.

It is a happy number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87950000003) 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 17 ways as a sum of consecutive naturals, for example, 49999121 + ... + 50000879.

Almost surely, 287950000000 is an apocalyptic number.

87950000000 is a gapful number since it is divisible by the number (80) 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 87950000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109570256400).

87950000000 is an abundant number, since it is smaller than the sum of its proper divisors (131190512800).

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

87950000000 is an frugal number, since it uses more digits than its factorization.

87950000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

Adding to 87950000000 its reverse (5978), we get a palindrome (87950005978).

The spelling of 87950000000 in words is "eighty-seven billion, nine hundred fifty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 1759 2000 2500 3125 3200 3518 4000 5000 6250 7036 8000 8795 10000 12500 14072 15625 16000 17590 20000 25000 28144 31250 35180 40000 43975 50000 56288 62500 70360 78125 80000 87950 100000 112576 125000 140720 156250 175900 200000 219875 225152 250000 281440 312500 351800 390625 400000 439750 500000 562880 625000 703600 781250 879500 1000000 1099375 1125760 1250000 1407200 1562500 1759000 2000000 2198750 2500000 2814400 3125000 3518000 4397500 5000000 5496875 5628800 6250000 7036000 8795000 10000000 10993750 12500000 14072000 17590000 21987500 25000000 27484375 28144000 35180000 43975000 50000000 54968750 70360000 87950000 109937500 137421875 140720000 175900000 219875000 274843750 351800000 439750000 549687500 687109375 703600000 879500000 1099375000 1374218750 1759000000 2198750000 2748437500 3518000000 4397500000 5496875000 8795000000 10993750000 17590000000 21987500000 43975000000 87950000000