Search a number
-
+
66113604480 = 2735711447197
BaseRepresentation
bin111101100100101011…
…011000101110000000
320022122120102002110210
4331210223120232000
52040400040320410
650212215554120
74530233236320
oct754453305600
9208576362423
1066113604480
1126047451650
121099138b940
136308220b31
1432b27d5280
151abe32b220
hexf64ad8b80

66113604480 has 256 divisors, whose sum is σ = 262737768960. Its totient is φ = 13737861120.

The previous prime is 66113604463. The next prime is 66113604481. The reversal of 66113604480 is 8440631166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66113604481) 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 31 ways as a sum of consecutive naturals, for example, 75759 + ... + 371438.

It is an arithmetic number, because the mean of its divisors is an integer number (1026319410).

Almost surely, 266113604480 is an apocalyptic number.

66113604480 is a gapful number since it is divisible by the number (60) 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 66113604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131368884480).

66113604480 is an abundant number, since it is smaller than the sum of its proper divisors (196624164480).

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

66113604480 is a wasteful number, since it uses less digits than its factorization.

66113604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447237 (or 447225 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 66113604480 in words is "sixty-six billion, one hundred thirteen million, six hundred four thousand, four hundred eighty".