Search a number
-
+
266652256505136 = 2431941101103368351
BaseRepresentation
bin111100101000010011010001…
…000001110000110100110000
31021222010201002020020200200020
4330220103101001300310300
5234422312310131131021
62343042204443323440
7110110663331634405
oct7450232101606460
91258121066220606
10266652256505136
1177a66650207127
1225aa6bb1220580
13b5a327a220cc8
1449bc0766aa2ac
1520c638546b7c6
hexf284d1070d30

266652256505136 has 320 divisors, whose sum is σ = 750884100341760. Its totient is φ = 81258854400000.

The previous prime is 266652256505113. The next prime is 266652256505143. The reversal of 266652256505136 is 631505652256662.

It is a happy number.

It is a super-2 number, since 2×2666522565051362 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 266652256505136.

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 63 ways as a sum of consecutive naturals, for example, 3901185361 + ... + 3901253711.

It is an arithmetic number, because the mean of its divisors is an integer number (2346512813568).

Almost surely, 2266652256505136 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 266652256505136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375442050170880).

266652256505136 is an abundant number, since it is smaller than the sum of its proper divisors (484231843836624).

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

266652256505136 is a wasteful number, since it uses less digits than its factorization.

266652256505136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69556 (or 69550 counting only the distinct ones).

The product of its (nonzero) digits is 116640000, while the sum is 60.

The spelling of 266652256505136 in words is "two hundred sixty-six trillion, six hundred fifty-two billion, two hundred fifty-six million, five hundred five thousand, one hundred thirty-six".