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66557422080 = 2932523296171
BaseRepresentation
bin111101111111001000…
…011010101000000000
320100210111112100202200
4331333020122220000
52042302200001310
650324232313200
74544232516222
oct757710325000
9210714470680
1066557422080
1126254a25356
1210a95b42800
1363791647b6
143315724412
151ae82979c0
hexf7f21aa00

66557422080 has 960 divisors, whose sum is σ = 256464299520. Its totient is φ = 15895756800.

The previous prime is 66557422079. The next prime is 66557422091. The reversal of 66557422080 is 8022475566.

It is a tau number, because it is divible by the number of its divisors (960).

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

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 95 ways as a sum of consecutive naturals, for example, 937428445 + ... + 937428515.

It is an arithmetic number, because the mean of its divisors is an integer number (267150312).

Almost surely, 266557422080 is an apocalyptic number.

66557422080 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 66557422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128232149760).

66557422080 is an abundant number, since it is smaller than the sum of its proper divisors (189906877440).

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

66557422080 is a wasteful number, since it uses less digits than its factorization.

66557422080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 66557422080 in words is "sixty-six billion, five hundred fifty-seven million, four hundred twenty-two thousand, eighty".