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664166784 = 2733734637
BaseRepresentation
bin100111100101100…
…110000110000000
31201021202011112210
4213211212012000
52330011314114
6145523222120
722313216211
oct4745460600
91637664483
10664166784
113109a5376
12166517940
13a77a42c8
14642cb408
153d495259
hex27966180

664166784 has 64 divisors (see below), whose sum is σ = 1769304240. Its totient is φ = 220747776.

The previous prime is 664166771. The next prime is 664166803. The reversal of 664166784 is 487661466.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6641667842 = 882235033937805312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140914 + ... + 145550.

Almost surely, 2664166784 is an apocalyptic number.

664166784 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664166784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884652120).

664166784 is an abundant number, since it is smaller than the sum of its proper divisors (1105137456).

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

664166784 is a wasteful number, since it uses less digits than its factorization.

664166784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5027 (or 5015 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 664166784 is about 25771.4334874877. The cubic root of 664166784 is about 872.4871727137.

The spelling of 664166784 in words is "six hundred sixty-four million, one hundred sixty-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 373 384 746 1119 1492 2238 2984 4476 4637 5968 8952 9274 11936 13911 17904 18548 23872 27822 35808 37096 47744 55644 71616 74192 111288 143232 148384 222576 296768 445152 593536 890304 1729601 1780608 3459202 5188803 6918404 10377606 13836808 20755212 27673616 41510424 55347232 83020848 110694464 166041696 221388928 332083392 664166784