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65693144 = 23111375449
BaseRepresentation
bin1111101010011…
…0010111011000
311120121120001102
43322212113120
5113304140034
610304010532
71425245126
oct372462730
9146546042
1065693144
113409a260
121a000a48
13107c13aa
148a20916
155b7997e
hex3ea65d8

65693144 has 32 divisors (see below), whose sum is σ = 135378000. Its totient is φ = 29637120.

The previous prime is 65693143. The next prime is 65693183. The reversal of 65693144 is 44139656.

It is a junction number, because it is equal to n+sod(n) for n = 65693098 and 65693107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65693141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9332 + ... + 14780.

Almost surely, 265693144 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 65693144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67689000).

65693144 is an abundant number, since it is smaller than the sum of its proper divisors (69684856).

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

65693144 is a wasteful number, since it uses less digits than its factorization.

65693144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5603 (or 5599 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

The square root of 65693144 is about 8105.1307207225. The cubic root of 65693144 is about 403.4967265199.

The spelling of 65693144 in words is "sixty-five million, six hundred ninety-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 137 274 548 1096 1507 3014 5449 6028 10898 12056 21796 43592 59939 119878 239756 479512 746513 1493026 2986052 5972104 8211643 16423286 32846572 65693144