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66899347200 = 283352727901
BaseRepresentation
bin111110010011100000…
…110000011100000000
320101200022220221212000
4332103200300130000
52044002213102300
650422205104000
74555554032400
oct762340603400
9211608827760
1066899347200
112640aa347a4
1210b70558000
136401c5145a
143348ccc800
151b182d8c00
hexf93830700

66899347200 has 648 divisors, whose sum is σ = 285400326960. Its totient is φ = 15289344000.

The previous prime is 66899347171. The next prime is 66899347201. The reversal of 66899347200 is 274399866.

It is a happy number.

66899347200 is a `hidden beast` number, since 6 + 6 + 8 + 99 + 347 + 200 = 666.

It is a super-2 number, since 2×668993472002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66899347201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8463250 + ... + 8471150.

Almost surely, 266899347200 is an apocalyptic number.

66899347200 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 66899347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142700163480).

66899347200 is an abundant number, since it is smaller than the sum of its proper divisors (218500979760).

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

66899347200 is a wasteful number, since it uses less digits than its factorization.

66899347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7950 (or 7918 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 66899347200 in words is "sixty-six billion, eight hundred ninety-nine million, three hundred forty-seven thousand, two hundred".