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266028798960 = 243551723311129
BaseRepresentation
bin1111011111000010001…
…1010101001111110000
3221102200000010012200000
43313300203111033300
513324311333031320
6322113440230000
725135304324031
oct3676043251760
9842600105600
10266028798960
11a290535a141
124368460b300
131c117ab9512
14cc3951ca88
156dc00ecc90
hex3df08d53f0

266028798960 has 960 divisors, whose sum is σ = 1057612308480. Its totient is φ = 61750149120.

The previous prime is 266028798941. The next prime is 266028799019. The reversal of 266028798960 is 69897820662.

266028798960 is a `hidden beast` number, since 266 + 0 + 287 + 9 + 8 + 96 + 0 = 666.

It is a super-2 number, since 2×2660287989602 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 235631676 + ... + 235632804.

It is an arithmetic number, because the mean of its divisors is an integer number (1101679488).

Almost surely, 2266028798960 is an apocalyptic number.

266028798960 is a gapful number since it is divisible by the number (20) 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 266028798960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528806154240).

266028798960 is an abundant number, since it is smaller than the sum of its proper divisors (791583509520).

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

266028798960 is a wasteful number, since it uses less digits than its factorization.

266028798960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 266028798960 in words is "two hundred sixty-six billion, twenty-eight million, seven hundred ninety-eight thousand, nine hundred sixty".