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260841112896 = 263713233753331
BaseRepresentation
bin1111001011101101010…
…1111000010101000000
3220221021110120110020010
43302323111320111000
513233200311103041
6315455002144520
724562612606620
oct3627325702500
9827243513203
10260841112896
11a069300a891
12426771b2140
131b79c0c54b0
14c8a6562880
156bb9970a16
hex3cbb578540

260841112896 has 896 divisors, whose sum is σ = 930268717056. Its totient is φ = 62626037760.

The previous prime is 260841112879. The next prime is 260841112997. The reversal of 260841112896 is 698211148062.

260841112896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 788039451 + ... + 788039781.

It is an arithmetic number, because the mean of its divisors is an integer number (1038246336).

Almost surely, 2260841112896 is an apocalyptic number.

260841112896 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 260841112896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465134358528).

260841112896 is an abundant number, since it is smaller than the sum of its proper divisors (669427604160).

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

260841112896 is a wasteful number, since it uses less digits than its factorization.

260841112896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 260841112896 in words is "two hundred sixty billion, eight hundred forty-one million, one hundred twelve thousand, eight hundred ninety-six".