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65011712 = 22131
BaseRepresentation
bin1111100000000…
…0000000000000
311112022221022012
43320000000000
5113120333322
610241232052
71416406343
oct370000000
9145287265
1065011712
1133774297
1219932628
131061318c
1488c445a
155a92ae2
hex3e00000

65011712 has 44 divisors (see below), whose sum is σ = 134217696. Its totient is φ = 31457280.

The previous prime is 65011703. The next prime is 65011717. The reversal of 65011712 is 21711056.

It is a nialpdrome in base 2 and base 4.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65011717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2097137 + ... + 2097167.

Almost surely, 265011712 is an apocalyptic number.

65011712 is a gapful number since it is divisible by the number (62) 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 65011712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67108848).

65011712 is an abundant number, since it is smaller than the sum of its proper divisors (69205984).

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

65011712 is an frugal number, since it uses more digits than its factorization.

65011712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 65011712 is about 8062.9840629881. The cubic root of 65011712 is about 402.0967235061.

Adding to 65011712 its reverse (21711056), we get a palindrome (86722768).

The spelling of 65011712 in words is "sixty-five million, eleven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1984 2048 3968 4096 7936 8192 15872 16384 31744 32768 63488 65536 126976 131072 253952 262144 507904 524288 1015808 1048576 2031616 2097152 4063232 8126464 16252928 32505856 65011712