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66678273984 = 2637317512131
BaseRepresentation
bin111110000110010101…
…011011011111000000
320101002220221021102010
4332012111123133000
52043024114231414
650344230452520
74550230656150
oct760625333700
9211086837363
1066678273984
1126307169163
1210b0a504140
1363981c93ba
1433277c2760
151b03bba959
hexf8655b7c0

66678273984 has 224 divisors, whose sum is σ = 208501276672. Its totient is φ = 18403200000.

The previous prime is 66678273967. The next prime is 66678273989. The reversal of 66678273984 is 48937287666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66678273989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31288599 + ... + 31290729.

Almost surely, 266678273984 is an apocalyptic number.

66678273984 is a gapful number since it is divisible by the number (64) 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 66678273984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104250638336).

66678273984 is an abundant number, since it is smaller than the sum of its proper divisors (141823002688).

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

66678273984 is a wasteful number, since it uses less digits than its factorization.

66678273984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2925 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 66.

The spelling of 66678273984 in words is "sixty-six billion, six hundred seventy-eight million, two hundred seventy-three thousand, nine hundred eighty-four".