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65195064 = 233311231193
BaseRepresentation
bin1111100010110…
…0110000111000
311112200020211000
43320230300320
5113142220224
610245205000
71421102034
oct370546070
9145606730
1065195064
113388a020
1219a00760
131067877c
1489311c4
155acc0c9
hex3e2cc38

65195064 has 128 divisors (see below), whose sum is σ = 206323200. Its totient is φ = 18881280.

The previous prime is 65195033. The next prime is 65195093. The reversal of 65195064 is 46059156.

65195064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 54052 + ... + 55244.

It is an arithmetic number, because the mean of its divisors is an integer number (1611900).

Almost surely, 265195064 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 65195064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103161600).

65195064 is an abundant number, since it is smaller than the sum of its proper divisors (141128136).

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

65195064 is a wasteful number, since it uses less digits than its factorization.

65195064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 65195064 is about 8074.3460416309. The cubic root of 65195064 is about 402.4743787299.

The spelling of 65195064 in words is "sixty-five million, one hundred ninety-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 88 92 99 108 132 138 184 198 207 216 253 264 276 297 396 414 506 552 594 621 759 792 828 1012 1188 1193 1242 1518 1656 2024 2277 2376 2386 2484 3036 3579 4554 4772 4968 6072 6831 7158 9108 9544 10737 13123 13662 14316 18216 21474 26246 27324 27439 28632 32211 39369 42948 52492 54648 54878 64422 78738 82317 85896 104984 109756 118107 128844 157476 164634 219512 236214 246951 257688 301829 314952 329268 354321 472428 493902 603658 658536 708642 740853 905487 944856 987804 1207316 1417284 1481706 1810974 1975608 2414632 2716461 2834568 2963412 3621948 5432922 5926824 7243896 8149383 10865844 16298766 21731688 32597532 65195064