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66149696 = 262921229
BaseRepresentation
bin1111110001010…
…1110101000000
311121110202022202
43330111311000
5113413242241
610321452332
71432156154
oct374256500
9147422282
1066149696
1134381278
121a1a10a8
1310921142
148add064
155c19d9b
hex3f15d40

66149696 has 42 divisors (see below), whose sum is σ = 136058910. Its totient is φ = 31908352.

The previous prime is 66149689. The next prime is 66149717. The reversal of 66149696 is 69694166.

66149696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 30913600 + 35236096 = 5560^2 + 5936^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66149696.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53210 + ... + 54438.

Almost surely, 266149696 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 66149696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68029455).

66149696 is an abundant number, since it is smaller than the sum of its proper divisors (69909214).

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

66149696 is a wasteful number, since it uses less digits than its factorization.

66149696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1260 counting only the distinct ones).

The product of its digits is 419904, while the sum is 47.

The square root of 66149696 is about 8133.2463383326. The cubic root of 66149696 is about 404.4293054305.

The spelling of 66149696 in words is "sixty-six million, one hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 841 928 1229 1682 1856 2458 3364 4916 6728 9832 13456 19664 26912 35641 39328 53824 71282 78656 142564 285128 570256 1033589 1140512 2067178 2281024 4134356 8268712 16537424 33074848 66149696