Search a number
-
+
261876804121 = 151233892
BaseRepresentation
bin1111001111100100010…
…0101110101000011001
3221000221122102000111101
43303321010232220121
513242310430212441
6320145440431401
724630360051562
oct3637104565031
9830848360441
10261876804121
11a10746a0a49
1242906018561
131b90584ac3a
14c963d21169
156c2a852231
hex3cf912ea19

261876804121 has 9 divisors (see below), whose sum is σ = 263700383583. Its totient is φ = 260065759800.

The previous prime is 261876804107. The next prime is 261876804127. The reversal of 261876804121 is 121408678162.

The square root of 261876804121 is 511739.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 254206547721 + 7670256400 = 504189^2 + 87580^2 .

It is not a de Polignac number, because 261876804121 - 229 = 261339933209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (261876804127) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 77270895 + ... + 77274283.

Almost surely, 2261876804121 is an apocalyptic number.

261876804121 is the 511739-th square number.

261876804121 is the 255870-th centered octagonal number.

It is an amenable number.

261876804121 is a deficient number, since it is larger than the sum of its proper divisors (1823579462).

261876804121 is an frugal number, since it uses more digits than its factorization.

261876804121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7080 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 261876804121 in words is "two hundred sixty-one billion, eight hundred seventy-six million, eight hundred four thousand, one hundred twenty-one".

Divisors: 1 151 3389 22801 511739 11485321 77272589 1734283471 261876804121