Search a number
-
+
66667256448 = 27313294391049
BaseRepresentation
bin111110000101101011…
…011001101010000000
320101002011012112012020
4332011223121222000
52043013304201243
650343154401440
74550035221102
oct760553315200
9211064175166
1066667256448
1126300a23561
1210b06890280
136395b3c650
143326155572
151b02c41283
hexf85ad9a80

66667256448 has 256 divisors, whose sum is σ = 197920800000. Its totient is φ = 19741704192.

The previous prime is 66667256401. The next prime is 66667256471. The reversal of 66667256448 is 84465276666.

It is a junction number, because it is equal to n+sod(n) for n = 66667256391 and 66667256400.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 63552628 + ... + 63553676.

It is an arithmetic number, because the mean of its divisors is an integer number (773128125).

Almost surely, 266667256448 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 66667256448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98960400000).

66667256448 is an abundant number, since it is smaller than the sum of its proper divisors (131253543552).

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

66667256448 is a wasteful number, since it uses less digits than its factorization.

66667256448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1535 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 60.

The spelling of 66667256448 in words is "sixty-six billion, six hundred sixty-seven million, two hundred fifty-six thousand, four hundred forty-eight".