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66329124480 = 273553711527
BaseRepresentation
bin111101110001100001…
…100001111010000000
320100012120221122100000
4331301201201322000
52041320223440410
650245435200000
74535461153443
oct756141417200
9210176848300
1066329124480
1126148074a53
1210a315a6000
136340a80368
1432d329765a
151ad31eddc0
hexf71861e80

66329124480 has 384 divisors, whose sum is σ = 243966602880. Its totient is φ = 17208225792.

The previous prime is 66329124467. The next prime is 66329124523. The reversal of 66329124480 is 8442192366.

66329124480 is a `hidden beast` number, since 6 + 6 + 329 + 1 + 244 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5748477 + ... + 5760003.

It is an arithmetic number, because the mean of its divisors is an integer number (635329695).

Almost surely, 266329124480 is an apocalyptic number.

66329124480 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 66329124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121983301440).

66329124480 is an abundant number, since it is smaller than the sum of its proper divisors (177637478400).

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

66329124480 is a wasteful number, since it uses less digits than its factorization.

66329124480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11598 (or 11574 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 66329124480 in words is "sixty-six billion, three hundred twenty-nine million, one hundred twenty-four thousand, four hundred eighty".