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66500198100 = 223452721311279
BaseRepresentation
bin111101111011101110…
…000111111011010100
320100122111212002020000
4331323232013323110
52042143022314400
650314430011300
74542636233400
oct757356077324
9210574762200
1066500198100
11262256a0106
1210a7a946b30
13636a34a25b
14330bcaa100
151ae3242600
hexf7bb87ed4

66500198100 has 540 divisors, whose sum is σ = 252873815040. Its totient is φ = 15072220800.

The previous prime is 66500198099. The next prime is 66500198101. The reversal of 66500198100 is 189100566.

66500198100 is a `hidden beast` number, since 66 + 500 + 1 + 98 + 1 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66500198099) and next prime (66500198101).

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×665001981002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66500198101) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 51993261 + ... + 51994539.

Almost surely, 266500198100 is an apocalyptic number.

66500198100 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 66500198100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126436907520).

66500198100 is an abundant number, since it is smaller than the sum of its proper divisors (186373616940).

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

66500198100 is a wasteful number, since it uses less digits than its factorization.

66500198100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 66500198100 its reverse (189100566), we get a palindrome (66689298666).

The spelling of 66500198100 in words is "sixty-six billion, five hundred million, one hundred ninety-eight thousand, one hundred".