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80125000000 = 2659641
BaseRepresentation
bin100101010011111010…
…0100111100101000000
321122211001022201202121
41022213310213211000
52303044000000000
6100450420454024
75534400156043
oct1124764474500
9248731281677
1080125000000
1130a87523471
121364184a314
13772bcbc806
143c415d6c5a
15213e460b1a
hex12a7d27940

80125000000 has 140 divisors (see below), whose sum is σ = 199057596804. Its totient is φ = 32000000000.

The previous prime is 80124999979. The next prime is 80125000001. The reversal of 80125000000 is 52108.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 11073773824 + 69051226176 = 105232^2 + 262776^2 .

It is a sliding number, since 80125000000 = 125000000 + 80000000000 and 1/125000000 + 1/80000000000 = 0.0000000080125000000.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80125000001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 124999680 + ... + 125000320.

Almost surely, 280125000000 is an apocalyptic number.

80125000000 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 80125000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99528798402).

80125000000 is an abundant number, since it is smaller than the sum of its proper divisors (118932596804).

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

80125000000 is an frugal number, since it uses more digits than its factorization.

80125000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 80125000000 its reverse (52108), we get a palindrome (80125052108).

It can be divided in two parts, 80 and 125000000, that multiplied together give a 10-th power (10000000000 = 1010).

The spelling of 80125000000 in words is "eighty billion, one hundred twenty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 641 800 1000 1250 1282 1600 2000 2500 2564 3125 3205 4000 5000 5128 6250 6410 8000 10000 10256 12500 12820 15625 16025 20000 20512 25000 25640 31250 32050 40000 41024 50000 51280 62500 64100 78125 80125 100000 102560 125000 128200 156250 160250 200000 205120 250000 256400 312500 320500 390625 400625 500000 512800 625000 641000 781250 801250 1000000 1025600 1250000 1282000 1562500 1602500 1953125 2003125 2500000 2564000 3125000 3205000 3906250 4006250 5000000 5128000 6250000 6410000 7812500 8012500 10015625 12500000 12820000 15625000 16025000 20031250 25000000 25640000 31250000 32050000 40062500 50078125 62500000 64100000 80125000 100156250 125000000 128200000 160250000 200312500 250390625 320500000 400625000 500781250 641000000 801250000 1001562500 1251953125 1602500000 2003125000 2503906250 3205000000 4006250000 5007812500 8012500000 10015625000 16025000000 20031250000 40062500000 80125000000