Search a number
-
+
261132424420 = 22579833189691
BaseRepresentation
bin1111001100110010110…
…1001001010011100100
3220222000202201121111211
43303030231021103210
513234244400040140
6315543530041204
724603050661430
oct3631455112344
9828022647454
10261132424420
11a082249a50a
1242738879204
131b81757068a
14c8d31139c0
156bd53152ea
hex3cccb494e4

261132424420 has 48 divisors (see below), whose sum is σ = 626784859008. Its totient is φ = 89521539840.

The previous prime is 261132424417. The next prime is 261132424459. The reversal of 261132424420 is 24424231162.

261132424420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1281775 + ... + 1471465.

It is an arithmetic number, because the mean of its divisors is an integer number (13058017896).

Almost surely, 2261132424420 is an apocalyptic number.

261132424420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261132424420 is an abundant number, since it is smaller than the sum of its proper divisors (365652434588).

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

261132424420 is a wasteful number, since it uses less digits than its factorization.

261132424420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199540 (or 199538 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 261132424420 its reverse (24424231162), we get a palindrome (285556655582).

The spelling of 261132424420 in words is "two hundred sixty-one billion, one hundred thirty-two million, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 9833 19666 39332 49165 68831 98330 137662 189691 196660 275324 344155 379382 688310 758764 948455 1327837 1376620 1896910 2655674 3793820 5311348 6639185 13278370 26556740 1865231603 3730463206 7460926412 9326158015 13056621221 18652316030 26113242442 37304632060 52226484884 65283106105 130566212210 261132424420