Search a number
-
+
261847541554116 = 223718439169056491
BaseRepresentation
bin111011100010011000100001…
…101100110001101111000100
31021100010101021101101220212220
4323202120201230301233010
5233310102231114212431
62324523033331212340
7106103601115461330
oct7342304154615704
91240111241356786
10261847541554116
1176483a11946331
122544b983a470b0
13b31516a6b1b7b
1448936bab447c0
1520413c72c1b96
hexee2621b31bc4

261847541554116 has 48 divisors (see below), whose sum is σ = 698297983595520. Its totient is φ = 74809525502880.

The previous prime is 261847541554111. The next prime is 261847541554127. The reversal of 261847541554116 is 611455145748162.

It is a self number, because there is not a number n which added to its sum of digits gives 261847541554116.

It is not an unprimeable number, because it can be changed into a prime (261847541554111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82979370 + ... + 86077121.

It is an arithmetic number, because the mean of its divisors is an integer number (14547874658240).

Almost surely, 2261847541554116 is an apocalyptic number.

It is an amenable number.

261847541554116 is an abundant number, since it is smaller than the sum of its proper divisors (436450442041404).

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

261847541554116 is a wasteful number, since it uses less digits than its factorization.

261847541554116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169074944 (or 169074942 counting only the distinct ones).

The product of its digits is 32256000, while the sum is 60.

The spelling of 261847541554116 in words is "two hundred sixty-one trillion, eight hundred forty-seven billion, five hundred forty-one million, five hundred fifty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 18439 36878 55317 73756 110634 129073 221268 258146 387219 516292 774438 1548876 169056491 338112982 507169473 676225964 1014338946 1183395437 2028677892 2366790874 3550186311 4733581748 7100372622 14200745244 3117232637549 6234465275098 9351697912647 12468930550196 18703395825294 21820628462843 37406791650588 43641256925686 65461885388529 87282513851372 130923770777058 261847541554116