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66448429920 = 2533597158573
BaseRepresentation
bin111101111000101000…
…101001001101100000
320100111220102222122000
4331320220221031200
52042041244224140
650305340244000
74541440222635
oct757050511540
9210456388560
1066448429920
11261a9451994
1210a65540600
13635c6c30b2
14330507218c
151add918a30
hexf78a29360

66448429920 has 192 divisors, whose sum is σ = 234968610240. Its totient is φ = 17536794624.

The previous prime is 66448429871. The next prime is 66448429963. The reversal of 66448429920 is 2992484466.

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

It is a congruent number.

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, 339754 + ... + 498326.

It is an arithmetic number, because the mean of its divisors is an integer number (1223794845).

Almost surely, 266448429920 is an apocalyptic number.

66448429920 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 66448429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117484305120).

66448429920 is an abundant number, since it is smaller than the sum of its proper divisors (168520180320).

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

66448429920 is a wasteful number, since it uses less digits than its factorization.

66448429920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158694 (or 158680 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 66448429920 in words is "sixty-six billion, four hundred forty-eight million, four hundred twenty-nine thousand, nine hundred twenty".