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65513016 = 23332313187
BaseRepresentation
bin1111100111101…
…0011000111000
311120021101222000
43321322120320
5113232404031
610300101000
71423565022
oct371723070
9146241860
1065513016
1133a86998
1219b34760
131075a3ca
1489b5012
155b413e6
hex3e7a638

65513016 has 64 divisors (see below), whose sum is σ = 189907200. Its totient is φ = 20886624.

The previous prime is 65513003. The next prime is 65513023. The reversal of 65513016 is 61031556.

It is a happy number.

65513016 is a `hidden beast` number, since 655 + 1 + 3 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1626 + ... + 11561.

It is an arithmetic number, because the mean of its divisors is an integer number (2967300).

Almost surely, 265513016 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 65513016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94953600).

65513016 is an abundant number, since it is smaller than the sum of its proper divisors (124394184).

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

65513016 is a wasteful number, since it uses less digits than its factorization.

65513016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13225 (or 13215 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 65513016 is about 8094.0111193400. The cubic root of 65513016 is about 403.1275982526.

The spelling of 65513016 in words is "sixty-five million, five hundred thirteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 13187 26374 39561 52748 79122 105496 118683 158244 237366 303301 316488 356049 474732 606602 712098 909903 949464 1213204 1424196 1819806 2426408 2729709 2848392 3639612 5459418 7279224 8189127 10918836 16378254 21837672 32756508 65513016