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80089000000 = 26562832
BaseRepresentation
bin100101010010110101…
…1010010100001000000
321122201112120202001021
41022211223102201000
52303010241000000
6100443053115224
75533452160552
oct1124553224100
9248645522037
1080089000000
1130a691750a9
1213631788b14
1377246c6839
143c3a9054d2
15213b1ee11a
hex12a5ad2840

80089000000 has 147 divisors (see below), whose sum is σ = 199360163001. Its totient is φ = 31922400000.

The previous prime is 80088999973. The next prime is 80089000007. The reversal of 80089000000 is 98008.

The square root of 80089000000 is 283000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 70165652544 + 9923347456 = 264888^2 + 99616^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80089000007) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 282999859 + ... + 283000141.

Almost surely, 280089000000 is an apocalyptic number.

80089000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

80089000000 is the 283000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80089000000

80089000000 is an abundant number, since it is smaller than the sum of its proper divisors (119271163001).

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

80089000000 is an frugal number, since it uses more digits than its factorization.

80089000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Multiplying 80089000000 by its sum of digits (25), we get a square (2002225000000 = 14150002).

80089000000 divided by its sum of digits (25) gives a square (3203560000 = 566002).

Multiplying 80089000000 by its product of nonzero digits (576), we get a square (46131264000000 = 67920002).

Adding to 80089000000 its reverse (98008), we get a palindrome (80089098008).

The spelling of 80089000000 in words is "eighty billion, eighty-nine million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 283 320 400 500 566 625 800 1000 1132 1250 1415 1600 2000 2264 2500 2830 3125 4000 4528 5000 5660 6250 7075 8000 9056 10000 11320 12500 14150 15625 18112 20000 22640 25000 28300 31250 35375 40000 45280 50000 56600 62500 70750 80089 90560 100000 113200 125000 141500 160178 176875 200000 226400 250000 283000 320356 353750 400445 452800 500000 566000 640712 707500 800890 884375 1000000 1132000 1281424 1415000 1601780 1768750 2002225 2264000 2562848 2830000 3203560 3537500 4004450 4421875 5125696 5660000 6407120 7075000 8008900 8843750 10011125 11320000 12814240 14150000 16017800 17687500 20022250 25628480 28300000 32035600 35375000 40044500 50055625 56600000 64071200 70750000 80089000 100111250 128142400 141500000 160178000 200222500 250278125 283000000 320356000 400445000 500556250 640712000 800890000 1001112500 1251390625 1601780000 2002225000 2502781250 3203560000 4004450000 5005562500 8008900000 10011125000 16017800000 20022250000 40044500000 80089000000