Search a number
-
+
261286467280 = 24528011166041
BaseRepresentation
bin1111001101010111100…
…0110001011011010000
3220222102111120210120221
43303111320301123100
513240103313423110
6320011111442424
724606631220116
oct3632570613320
9828374523527
10261286467280
11a08a1443163
1242780386414
131b8404567b7
14c909771ab6
156be3ae27da
hex3cd5e316d0

261286467280 has 40 divisors (see below), whose sum is σ = 607708441224. Its totient is φ = 104477184000.

The previous prime is 261286467271. The next prime is 261286467283. The reversal of 261286467280 is 82764682162.

It can be written as a sum of positive squares in 4 ways, for example, as 14050783296 + 247235683984 = 118536^2 + 497228^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261286467283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358941 + ... + 807100.

Almost surely, 2261286467280 is an apocalyptic number.

261286467280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261286467280 is an abundant number, since it is smaller than the sum of its proper divisors (346421973944).

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

261286467280 is a wasteful number, since it uses less digits than its factorization.

261286467280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168855 (or 1168849 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The spelling of 261286467280 in words is "two hundred sixty-one billion, two hundred eighty-six million, four hundred sixty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2801 5602 11204 14005 22408 28010 44816 56020 112040 224080 1166041 2332082 4664164 5830205 9328328 11660410 18656656 23320820 46641640 93283280 3266080841 6532161682 13064323364 16330404205 26128646728 32660808410 52257293456 65321616820 130643233640 261286467280