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255889067672 = 23767367185833
BaseRepresentation
bin1110111001010000101…
…1010100111010011000
3220110111100102111020202
43232110023110322120
513143030100131142
6313315342441332
724326112121160
oct3562413247230
9813440374222
10255889067672
1199581786a27
1241714893248
131b190187114
14c5569c55a0
1569c9d3d032
hex3b942d4e98

255889067672 has 64 divisors (see below), whose sum is σ = 558037201920. Its totient is φ = 107734987008.

The previous prime is 255889067663. The next prime is 255889067719. The reversal of 255889067672 is 276760988552.

255889067672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 255889067599 and 255889067608.

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 15 ways as a sum of consecutive naturals, for example, 1284068 + ... + 1469900.

It is an arithmetic number, because the mean of its divisors is an integer number (8719331280).

Almost surely, 2255889067672 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 255889067672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279018600960).

255889067672 is an abundant number, since it is smaller than the sum of its proper divisors (302148134248).

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

255889067672 is a wasteful number, since it uses less digits than its factorization.

255889067672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186280 (or 186276 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 65.

The spelling of 255889067672 in words is "two hundred fifty-five billion, eight hundred eighty-nine million, sixty-seven thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 367 469 536 734 938 1468 1876 2569 2936 3752 5138 10276 20552 24589 49178 98356 172123 185833 196712 344246 371666 688492 743332 1300831 1376984 1486664 2601662 5203324 10406648 12450811 24901622 49803244 68200711 87155677 99606488 136401422 174311354 272802844 348622708 477404977 545605688 697245416 954809954 1909619908 3819239816 4569447637 9138895274 18277790548 31986133459 36555581096 63972266918 127944533836 255889067672