Search a number
-
+
80312500000 = 25510257
BaseRepresentation
bin100101011001011111…
…1110111111100100000
321200022010010201102001
41022302333313330200
52303440000000000
6100521155333344
75542134662215
oct1126277677440
9250263121361
1080312500000
1131073348a47
12136945b1254
13775babb365
143c5c483b0c
152150b4b46a
hex12b2ff7f20

80312500000 has 132 divisors (see below), whose sum is σ = 198413081874. Its totient is φ = 32000000000.

The previous prime is 80312499991. The next prime is 80312500013. The reversal of 80312500000 is 521308.

It is a happy number.

It can be written as a sum of positive squares in 11 ways, for example, as 41239861776 + 39072638224 = 203076^2 + 197668^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 312499872 + ... + 312500128.

Almost surely, 280312500000 is an apocalyptic number.

80312500000 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 80312500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99206540937).

80312500000 is an abundant number, since it is smaller than the sum of its proper divisors (118100581874).

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

80312500000 is an frugal number, since it uses more digits than its factorization.

80312500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The spelling of 80312500000 in words is "eighty billion, three hundred twelve million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 257 400 500 514 625 800 1000 1028 1250 1285 2000 2056 2500 2570 3125 4000 4112 5000 5140 6250 6425 8224 10000 10280 12500 12850 15625 20000 20560 25000 25700 31250 32125 41120 50000 51400 62500 64250 78125 100000 102800 125000 128500 156250 160625 205600 250000 257000 312500 321250 390625 500000 514000 625000 642500 781250 803125 1028000 1250000 1285000 1562500 1606250 1953125 2500000 2570000 3125000 3212500 3906250 4015625 5140000 6250000 6425000 7812500 8031250 9765625 12500000 12850000 15625000 16062500 19531250 20078125 25700000 31250000 32125000 39062500 40156250 62500000 64250000 78125000 80312500 100390625 128500000 156250000 160625000 200781250 312500000 321250000 401562500 501953125 642500000 803125000 1003906250 1606250000 2007812500 2509765625 3212500000 4015625000 5019531250 8031250000 10039062500 16062500000 20078125000 40156250000 80312500000