Search a number
-
+
1812345500 = 225372512063
BaseRepresentation
bin110110000000110…
…0011001010011100
311200022020200122102
41230001203022130
512202430024000
6455500504232
762624453060
oct15401431234
94608220572
101812345500
11850026aa9
12426b4b078
1322b6233b4
141329abaa0
15a91963d5
hex6c06329c

1812345500 has 96 divisors (see below), whose sum is σ = 4543838208. Its totient is φ = 618600000.

The previous prime is 1812345497. The next prime is 1812345541. The reversal of 1812345500 is 55432181.

It is a super-2 number, since 2×18123455002 = 6569192422740500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 877469 + ... + 879531.

It is an arithmetic number, because the mean of its divisors is an integer number (47331648).

Almost surely, 21812345500 is an apocalyptic number.

1812345500 is a gapful number since it is divisible by the number (10) 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 1812345500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271919104).

1812345500 is an abundant number, since it is smaller than the sum of its proper divisors (2731492708).

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

1812345500 is a wasteful number, since it uses less digits than its factorization.

1812345500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 1812345500 is about 42571.6513656682. The cubic root of 1812345500 is about 1219.2150957741.

Adding to 1812345500 its reverse (55432181), we get a palindrome (1867777681).

The spelling of 1812345500 in words is "one billion, eight hundred twelve million, three hundred forty-five thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 251 350 500 502 700 875 1004 1255 1750 1757 2063 2510 3500 3514 4126 5020 6275 7028 8252 8785 10315 12550 14441 17570 20630 25100 28882 31375 35140 41260 43925 51575 57764 62750 72205 87850 103150 125500 144410 175700 206300 219625 257875 288820 361025 439250 515750 517813 722050 878500 1031500 1035626 1444100 1805125 2071252 2589065 3610250 3624691 5178130 7220500 7249382 10356260 12945325 14498764 18123455 25890650 36246910 51781300 64726625 72493820 90617275 129453250 181234550 258906500 362469100 453086375 906172750 1812345500