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66886987440 = 243572131923027
BaseRepresentation
bin111110010010110001…
…100110111010110000
320101122110200000110010
4332102301212322300
52043441032044230
650421044134520
74555344004200
oct762261467260
9211573600403
1066886987440
1126403a62719
1210b68397440
1363cc5147a0
1433473d2400
151b171969b0
hexf92c66eb0

66886987440 has 480 divisors, whose sum is σ = 273439998720. Its totient is φ = 13369079808.

The previous prime is 66886987439. The next prime is 66886987469. The reversal of 66886987440 is 4478968866.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2893207 + ... + 2916233.

It is an arithmetic number, because the mean of its divisors is an integer number (569666664).

Almost surely, 266886987440 is an apocalyptic number.

66886987440 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 66886987440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136719999360).

66886987440 is an abundant number, since it is smaller than the sum of its proper divisors (206553011280).

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

66886987440 is a wasteful number, since it uses less digits than its factorization.

66886987440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23089 (or 23076 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 66.

The spelling of 66886987440 in words is "sixty-six billion, eight hundred eighty-six million, nine hundred eighty-seven thousand, four hundred forty".