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66844343400 = 233521723499571
BaseRepresentation
bin111110010000001110…
…111011110001101000
320101112111102110211020
4332100032323301220
52043344122442100
650412522132440
74554315354432
oct762016736150
9211474373736
1066844343400
112639198660a
1210b56051120
1363c3733623
143341891652
151b135715a0
hexf903bbc68

66844343400 has 384 divisors, whose sum is σ = 229806720000. Its totient is φ = 15986995200.

The previous prime is 66844343381. The next prime is 66844343429. The reversal of 66844343400 is 434344866.

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, 117065115 + ... + 117065685.

It is an arithmetic number, because the mean of its divisors is an integer number (598455000).

Almost surely, 266844343400 is an apocalyptic number.

66844343400 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 66844343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114903360000).

66844343400 is an abundant number, since it is smaller than the sum of its proper divisors (162962376600).

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

66844343400 is a wasteful number, since it uses less digits than its factorization.

66844343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 66844343400 in words is "sixty-six billion, eight hundred forty-four million, three hundred forty-three thousand, four hundred".