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64500096 = 2732367109
BaseRepresentation
bin1111011000001…
…1000110000000
311111100221111110
43312003012000
5113003000341
610222243320
71412145633
oct366030600
9144327443
1064500096
1133454971
1219726540
131049434b
1487cdc1a
1559e1216
hex3d83180

64500096 has 128 divisors (see below), whose sum is σ = 183110400. Its totient is φ = 20072448.

The previous prime is 64500083. The next prime is 64500097. The reversal of 64500096 is 69000546.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64500097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591690 + ... + 591798.

It is an arithmetic number, because the mean of its divisors is an integer number (1430550).

Almost surely, 264500096 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 64500096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91555200).

64500096 is an abundant number, since it is smaller than the sum of its proper divisors (118610304).

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

64500096 is a wasteful number, since it uses less digits than its factorization.

64500096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 64500096 is about 8031.1951788012. The cubic root of 64500096 is about 401.0391646708.

The spelling of 64500096 in words is "sixty-four million, five hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 67 69 92 96 109 128 134 138 184 192 201 218 268 276 327 368 384 402 436 536 552 654 736 804 872 1072 1104 1308 1472 1541 1608 1744 2144 2208 2507 2616 2944 3082 3216 3488 4288 4416 4623 5014 5232 6164 6432 6976 7303 7521 8576 8832 9246 10028 10464 12328 12864 13952 14606 15042 18492 20056 20928 21909 24656 25728 29212 30084 36984 40112 41856 43818 49312 58424 60168 73968 80224 87636 98624 116848 120336 147936 160448 167969 175272 197248 233696 240672 295872 320896 335938 350544 467392 481344 503907 591744 671876 701088 934784 962688 1007814 1343752 1402176 2015628 2687504 2804352 4031256 5375008 8062512 10750016 16125024 21500032 32250048 64500096