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66322464 = 25313192797
BaseRepresentation
bin1111110100000…
…0000000100000
311121210112022120
43331000000200
5113434304324
610325304240
71433505645
oct375000040
9147715276
1066322464
113448a05a
121a265080
1310981980
148b45dcc
155c51179
hex3f40020

66322464 has 96 divisors (see below), whose sum is σ = 197426880. Its totient is φ = 19325952.

The previous prime is 66322453. The next prime is 66322481. The reversal of 66322464 is 46422366.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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, 22314 + ... + 25110.

It is an arithmetic number, because the mean of its divisors is an integer number (2056530).

Almost surely, 266322464 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 66322464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98713440).

66322464 is an abundant number, since it is smaller than the sum of its proper divisors (131104416).

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

66322464 is a wasteful number, since it uses less digits than its factorization.

66322464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2834 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 66322464 is about 8143.8605096109. The cubic root of 66322464 is about 404.7810918798.

The spelling of 66322464 in words is "sixty-six million, three hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2797 2964 3952 5594 5928 7904 8391 11188 11856 16782 22376 23712 33564 36361 44752 53143 67128 72722 89504 106286 109083 134256 145444 159429 212572 218166 268512 290888 318858 425144 436332 581776 637716 690859 850288 872664 1163552 1275432 1381718 1700576 1745328 2072577 2550864 2763436 3490656 4145154 5101728 5526872 8290308 11053744 16580616 22107488 33161232 66322464