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66219088896 = 210342273517
BaseRepresentation
bin111101101010111101…
…110001110000000000
320022220220220020220000
4331222331301300000
52041104041321041
650230504520000
74532653653132
oct755275616000
9208826806800
1066219088896
11260a0a49654
1210a00780000
136324034a4c
1432c2813052
151ac8715bb6
hexf6af71c00

66219088896 has 220 divisors, whose sum is σ = 198670733448. Its totient is φ = 21969543168.

The previous prime is 66219088867. The next prime is 66219088909. The reversal of 66219088896 is 69888091266.

66219088896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×662190888963 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18826530 + ... + 18830046.

Almost surely, 266219088896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66219088896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99335366724).

66219088896 is an abundant number, since it is smaller than the sum of its proper divisors (132451644552).

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

66219088896 is a wasteful number, since it uses less digits than its factorization.

66219088896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 66219088896 in words is "sixty-six billion, two hundred nineteen million, eighty-eight thousand, eight hundred ninety-six".