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66409596 = 223211672503
BaseRepresentation
bin1111110101010…
…1010001111100
311121221221211200
43331111101330
5114000101341
610331215500
71434320661
oct375252174
9147857750
1066409596
1134539570
121a2a7590
13109b2526
148b69a68
155c6bdb6
hex3f5547c

66409596 has 72 divisors (see below), whose sum is σ = 185937024. Its totient is φ = 19815840.

The previous prime is 66409591. The next prime is 66409597. The reversal of 66409596 is 69590466.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66409591) 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, 25281 + ... + 27783.

Almost surely, 266409596 is an apocalyptic number.

66409596 is a gapful number since it is divisible by the number (66) 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 66409596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92968512).

66409596 is an abundant number, since it is smaller than the sum of its proper divisors (119527428).

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

66409596 is a wasteful number, since it uses less digits than its factorization.

66409596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 66409596 is about 8149.2083051055. The cubic root of 66409596 is about 404.9582764516.

The spelling of 66409596 in words is "sixty-six million, four hundred nine thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 67 99 132 134 198 201 268 396 402 603 737 804 1206 1474 2211 2412 2503 2948 4422 5006 6633 7509 8844 10012 13266 15018 22527 26532 27533 30036 45054 55066 82599 90108 110132 165198 167701 247797 330396 335402 495594 503103 670804 991188 1006206 1509309 1844711 2012412 3018618 3689422 5534133 6037236 7378844 11068266 16602399 22136532 33204798 66409596