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66428854230960 = 2433513192315135851
BaseRepresentation
bin11110001101010101011000…
…10000100101111110110000
322201012112111001211020121000
433012222230100211332300
532201332243140342320
6353140554440002000
716664216635320144
oct1706525420457660
9281175431736530
1066428854230960
111a191356464721
12754a434a60300
132b0b2a2427360
1412592608bd224
157a2e78685c90
hex3c6aac425fb0

66428854230960 has 1280 divisors, whose sum is σ = 272457761587200. Its totient is φ = 14719034880000.

The previous prime is 66428854230919. The next prime is 66428854231009. The reversal of 66428854230960 is 6903245882466.

It is a happy number.

66428854230960 is a `hidden beast` number, since 6 + 6 + 4 + 2 + 88 + 542 + 3 + 0 + 9 + 6 + 0 = 666.

66428854230960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1852897035 + ... + 1852932885.

It is an arithmetic number, because the mean of its divisors is an integer number (212857626240).

Almost surely, 266428854230960 is an apocalyptic number.

66428854230960 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 66428854230960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136228880793600).

66428854230960 is an abundant number, since it is smaller than the sum of its proper divisors (206028907356240).

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

66428854230960 is a wasteful number, since it uses less digits than its factorization.

66428854230960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36079 (or 36067 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 66428854230960 in words is "sixty-six trillion, four hundred twenty-eight billion, eight hundred fifty-four million, two hundred thirty thousand, nine hundred sixty".