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260616256992 = 253271331973307
BaseRepresentation
bin1111001010110111110…
…0000111110111100000
3220220200210110120220200
43302231330013313200
513232220230210432
6315420410505200
724554212430220
oct3625574076740
9826623416820
10260616256992
11a05880a0263
1242613a35200
131b764647770
14c884750080
156ba4d56a7c
hex3cadf07de0

260616256992 has 576 divisors, whose sum is σ = 951575998464. Its totient is φ = 65811087360.

The previous prime is 260616256987. The next prime is 260616257009. The reversal of 260616256992 is 299652616062.

260616256992 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 1 + 625 + 6 + 9 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78805803 + ... + 78809109.

It is an arithmetic number, because the mean of its divisors is an integer number (1652041664).

Almost surely, 2260616256992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260616256992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475787999232).

260616256992 is an abundant number, since it is smaller than the sum of its proper divisors (690959741472).

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

260616256992 is a wasteful number, since it uses less digits than its factorization.

260616256992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3471 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 260616256992 in words is "two hundred sixty billion, six hundred sixteen million, two hundred fifty-six thousand, nine hundred ninety-two".