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66497634 = 2327677877
BaseRepresentation
bin1111110110101…
…0110001100010
311122010102121100
43331222301202
5114010411014
610333135230
71435135440
oct375526142
9148112540
1066497634
1134599725
121a32a516
1310a13618
148b8db90
155c88009
hex3f6ac62

66497634 has 48 divisors (see below), whose sum is σ = 167139648. Its totient is φ = 18713376.

The previous prime is 66497633. The next prime is 66497653. The reversal of 66497634 is 43679466.

66497634 is a `hidden beast` number, since 6 + 6 + 4 + 9 + 7 + 634 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 66497634.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66497633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4504 + ... + 12380.

It is an arithmetic number, because the mean of its divisors is an integer number (3482076).

Almost surely, 266497634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66497634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83569824).

66497634 is an abundant number, since it is smaller than the sum of its proper divisors (100642014).

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

66497634 is a wasteful number, since it uses less digits than its factorization.

66497634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7959 (or 7956 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 66497634 is about 8154.6081450920. The cubic root of 66497634 is about 405.1371460538.

The spelling of 66497634 in words is "sixty-six million, four hundred ninety-seven thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 938 1206 1407 2814 4221 7877 8442 15754 23631 47262 55139 70893 110278 141786 165417 330834 496251 527759 992502 1055518 1583277 3166554 3694313 4749831 7388626 9499662 11082939 22165878 33248817 66497634