Search a number
-
+
266949231552 = 26333743891091
BaseRepresentation
bin1111100010011101101…
…0100000001111000000
3221112001011002000211000
43320213122200033000
513333203000402202
6322345040252000
725200152013003
oct3704732401700
9845034060730
10266949231552
11a3237977833
12438a0911000
131c2336b81a3
14ccc587753a
156e25d1391c
hex3e276a03c0

266949231552 has 448 divisors, whose sum is σ = 834766732800. Its totient is φ = 83537879040.

The previous prime is 266949231529. The next prime is 266949231557. The reversal of 266949231552 is 255132949662.

266949231552 is a `hidden beast` number, since 2 + 6 + 69 + 4 + 9 + 23 + 1 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266949231557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244682527 + ... + 244683617.

It is an arithmetic number, because the mean of its divisors is an integer number (1863318600).

Almost surely, 2266949231552 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 266949231552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417383366400).

266949231552 is an abundant number, since it is smaller than the sum of its proper divisors (567817501248).

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

266949231552 is a wasteful number, since it uses less digits than its factorization.

266949231552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1265 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

It can be divided in two parts, 266949 and 231552, that added together give a triangular number (498501 = T998).

The spelling of 266949231552 in words is "two hundred sixty-six billion, nine hundred forty-nine million, two hundred thirty-one thousand, five hundred fifty-two".