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8012500000 = 2558641
BaseRepresentation
bin1110111011001010…
…10000110000100000
3202200101221011200021
413131211100300200
5112402200000000
63403023403224
7402362061211
oct73545206040
922611834607
108012500000
11344193592a
121677453514
139a8ccb87b
145601dd408
1531d66911a
hex1dd950c20

8012500000 has 108 divisors (see below), whose sum is σ = 19749013326. Its totient is φ = 3200000000.

The previous prime is 8012499997. The next prime is 8012500003. The reversal of 8012500000 is 52108.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8012499997) and next prime (8012500003).

It can be written as a sum of positive squares in 9 ways, for example, as 7984494736 + 28005264 = 89356^2 + 5292^2 .

It is a sliding number, since 8012500000 = 12500000 + 8000000000 and 1/12500000 + 1/8000000000 = 0.00000008012500000.

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 (8012500003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12499680 + ... + 12500320.

Almost surely, 28012500000 is an apocalyptic number.

8012500000 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 8012500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9874506663).

8012500000 is an abundant number, since it is smaller than the sum of its proper divisors (11736513326).

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

8012500000 is an frugal number, since it uses more digits than its factorization.

8012500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 648 counting only the distinct ones).

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

The square root of 8012500000 is about 89512.5689498408. The cubic root of 8012500000 is about 2001.0411246024.

Adding to 8012500000 its reverse (52108), we get a palindrome (8012552108).

It can be divided in two parts, 80 and 12500000, that multiplied together give a 9-th power (1000000000 = 109).

The spelling of 8012500000 in words is "eight billion, twelve million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 641 800 1000 1250 1282 2000 2500 2564 3125 3205 4000 5000 5128 6250 6410 10000 10256 12500 12820 15625 16025 20000 20512 25000 25640 31250 32050 50000 51280 62500 64100 78125 80125 100000 102560 125000 128200 156250 160250 250000 256400 312500 320500 390625 400625 500000 512800 625000 641000 781250 801250 1250000 1282000 1562500 1602500 2003125 2500000 2564000 3125000 3205000 4006250 6250000 6410000 8012500 10015625 12500000 12820000 16025000 20031250 32050000 40062500 50078125 64100000 80125000 100156250 160250000 200312500 250390625 320500000 400625000 500781250 801250000 1001562500 1602500000 2003125000 4006250000 8012500000