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66199100 = 22521125471
BaseRepresentation
bin1111110010000…
…1111000111100
311121120021002112
43330201320330
5113421332400
610322513152
71432453202
oct374417074
9147507075
1066199100
1134405400
121a2057b8
131093a786
148b13072
155c29835
hex3f21e3c

66199100 has 54 divisors (see below), whose sum is σ = 157927392. Its totient is φ = 24068000.

The previous prime is 66199073. The next prime is 66199103. The reversal of 66199100 is 199166.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66199103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9365 + ... + 14835.

Almost surely, 266199100 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 66199100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78963696).

66199100 is an abundant number, since it is smaller than the sum of its proper divisors (91728292).

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

66199100 is a wasteful number, since it uses less digits than its factorization.

66199100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 66199100 is about 8136.2829351000. The cubic root of 66199100 is about 404.5299632543.

The spelling of 66199100 in words is "sixty-six million, one hundred ninety-nine thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 5471 6050 10942 12100 21884 27355 54710 60181 109420 120362 136775 240724 273550 300905 547100 601810 661991 1203620 1323982 1504525 2647964 3009050 3309955 6018100 6619910 13239820 16549775 33099550 66199100