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66119639040 = 21335571373
BaseRepresentation
bin111101100101000010…
…011010000000000000
320022122222202200100000
4331211002122000000
52040403111422130
650212553200000
74530335441640
oct754502320000
9208588680300
1066119639040
112604a8a3494
1210993400000
136309554790
1432b3526520
151abeb1e260
hexf6509a000

66119639040 has 1344 divisors, whose sum is σ = 296548551936. Its totient is φ = 13759414272.

The previous prime is 66119639023. The next prime is 66119639059. The reversal of 66119639040 is 4093691166.

66119639040 is a `hidden beast` number, since 6 + 6 + 1 + 1 + 9 + 639 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 905748444 + ... + 905748516.

It is an arithmetic number, because the mean of its divisors is an integer number (220646244).

Almost surely, 266119639040 is an apocalyptic number.

66119639040 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 66119639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148274275968).

66119639040 is an abundant number, since it is smaller than the sum of its proper divisors (230428912896).

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

66119639040 is an equidigital number, since it uses as much as digits as its factorization.

66119639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 66119639040 in words is "sixty-six billion, one hundred nineteen million, six hundred thirty-nine thousand, forty".