Search a number
-
+
260878497792 = 2113114782129
BaseRepresentation
bin1111001011110110010…
…0011111100000000000
3220221101001220210122220
43302331210133200000
513233234343412132
6315502415331040
724563545433523
oct3627544374000
9827331823586
10260878497792
11a07021246a0
1242687820a80
131b7a6a84933
14c8ab4d4bba
156bbcda7a2c
hex3cbd91f800

260878497792 has 192 divisors, whose sum is σ = 774886694400. Its totient is φ = 77371146240.

The previous prime is 260878497721. The next prime is 260878497799. The reversal of 260878497792 is 297794878062.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2608784977922 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260878497799) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3135384 + ... + 3217512.

It is an arithmetic number, because the mean of its divisors is an integer number (4035868200).

Almost surely, 2260878497792 is an apocalyptic number.

260878497792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260878497792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387443347200).

260878497792 is an abundant number, since it is smaller than the sum of its proper divisors (514008196608).

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

260878497792 is a wasteful number, since it uses less digits than its factorization.

260878497792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82212 (or 82192 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 69.

The spelling of 260878497792 in words is "two hundred sixty billion, eight hundred seventy-eight million, four hundred ninety-seven thousand, seven hundred ninety-two".