Search a number
-
+
266023476628992 = 29322343220326497
BaseRepresentation
bin111100011111001001101010…
…110100111000111000000000
31021212220121002110222110002100
4330133021222310320320000
5234332012040004111432
62341441255324350400
7110014363513112055
oct7437115264707000
91255817073873070
10266023476628992
1177843a17380725
1225a051700a5400
13b558ba1c1a7b4
14499986806902c
1520b4d33b8807c
hexf1f26ad38e00

266023476628992 has 480 divisors, whose sum is σ = 820177007240448. Its totient is φ = 82805811314688.

The previous prime is 266023476628961. The next prime is 266023476628997. The reversal of 266023476628992 is 299826674320662.

266023476628992 is a `hidden beast` number, since 2 + 6 + 6 + 0 + 2 + 3 + 476 + 62 + 8 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 266023476628992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266023476628997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10039745088 + ... + 10039771584.

Almost surely, 2266023476628992 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 266023476628992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410088503620224).

266023476628992 is an abundant number, since it is smaller than the sum of its proper divisors (554153530611456).

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

266023476628992 is a wasteful number, since it uses less digits than its factorization.

266023476628992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28790 (or 28771 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 72.

The spelling of 266023476628992 in words is "two hundred sixty-six trillion, twenty-three billion, four hundred seventy-six million, six hundred twenty-eight thousand, nine hundred ninety-two".