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65661696 = 283228499
BaseRepresentation
bin1111101001111…
…0101100000000
311120112221220200
43322132230000
5113302133241
610303205200
71425054342
oct372365400
9146487820
1065661696
1134078671
1219ba6800
13107acc99
148a13292
155b704b6
hex3e9eb00

65661696 has 54 divisors (see below), whose sum is σ = 189325500. Its totient is φ = 21886464.

The previous prime is 65661691. The next prime is 65661697. The reversal of 65661696 is 69616656.

65661696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×656616962 = 8622916643192832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (65661691) by changing a digit.

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, 11946 + ... + 16553.

Almost surely, 265661696 is an apocalyptic number.

It is an amenable number.

65661696 is an abundant number, since it is smaller than the sum of its proper divisors (123663804).

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

65661696 is a wasteful number, since it uses less digits than its factorization.

65661696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28521 (or 28504 counting only the distinct ones).

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

The square root of 65661696 is about 8103.1904827666. The cubic root of 65661696 is about 403.4323301987.

The spelling of 65661696 in words is "sixty-five million, six hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 28499 56998 85497 113996 170994 227992 256491 341988 455984 512982 683976 911968 1025964 1367952 1823936 2051928 2735904 3647872 4103856 5471808 7295744 8207712 10943616 16415424 21887232 32830848 65661696