Search a number
-
+
260695997016 = 233713217540119
BaseRepresentation
bin1111001011001010110…
…0010011101001011000
3220220220100111210122220
43302302230103221120
513232401133401031
6315432335544040
724556201261350
oct3626254235130
9826810453586
10260695997016
11a0619104104
124263668b020
131b778016700
14c891189b60
156babd58596
hex3cb2b13a58

260695997016 has 192 divisors, whose sum is σ = 853994534400. Its totient is φ = 64710457344.

The previous prime is 260695996997. The next prime is 260695997017. The reversal of 260695997016 is 610799596062.

260695997016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260695997017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212605 + ... + 752723.

It is an arithmetic number, because the mean of its divisors is an integer number (4447888200).

Almost surely, 2260695997016 is an apocalyptic number.

260695997016 is a gapful number since it is divisible by the number (26) 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 260695997016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426997267200).

260695997016 is an abundant number, since it is smaller than the sum of its proper divisors (593298537384).

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

260695997016 is a wasteful number, since it uses less digits than its factorization.

260695997016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540178 (or 540161 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 60.

It can be divided in two parts, 2606959 and 97016, that added together give a triangular number (2703975 = T2325).

The spelling of 260695997016 in words is "two hundred sixty billion, six hundred ninety-five million, nine hundred ninety-seven thousand, sixteen".