Search a number
-
+
261564130384680 = 23352179701086539
BaseRepresentation
bin111011011110010000100101…
…000100111101101100101000
31021022010021201222021210121210
4323132100211010331230220
5233240431314334302210
62324144522550233120
7106044245662335324
oct7336204504755450
91238107658253553
10261564130384680
11763847a7703a62
1225404a6a0557a0
13b2c4512624146
144883ab2c50984
152038d3b16be20
hexede42513db28

261564130384680 has 32 divisors (see below), whose sum is σ = 784692391154400. Its totient is φ = 69750434769216.

The previous prime is 261564130384591. The next prime is 261564130384691. The reversal of 261564130384680 is 86483031465162.

261564130384680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 261564130384680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1089850543150 + ... + 1089850543389.

It is an arithmetic number, because the mean of its divisors is an integer number (24521637223575).

Almost surely, 2261564130384680 is an apocalyptic number.

261564130384680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261564130384680 is an abundant number, since it is smaller than the sum of its proper divisors (523128260769720).

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

261564130384680 is a wasteful number, since it uses less digits than its factorization.

261564130384680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179701086553 (or 2179701086549 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 261564130384680 in words is "two hundred sixty-one trillion, five hundred sixty-four billion, one hundred thirty million, three hundred eighty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2179701086539 4359402173078 6539103259617 8718804346156 10898505432695 13078206519234 17437608692312 21797010865390 26156413038468 32695516298085 43594021730780 52312826076936 65391032596170 87188043461560 130782065192340 261564130384680