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665656416 = 253210721601
BaseRepresentation
bin100111101011010…
…001110001100000
31201101112211221100
4213223101301200
52330402001131
6150015154400
722331662155
oct4753216140
91641484840
10665656416
11311822577
12166b15a00
13a7ba6349
146459822c
153d68b7e6
hex27ad1c60

665656416 has 72 divisors (see below), whose sum is σ = 1910740104. Its totient is φ = 219801600.

The previous prime is 665656399. The next prime is 665656423. The reversal of 665656416 is 614656566.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20016 + ... + 41616.

It is an arithmetic number, because the mean of its divisors is an integer number (26538057).

Almost surely, 2665656416 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 665656416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955370052).

665656416 is an abundant number, since it is smaller than the sum of its proper divisors (1245083688).

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

665656416 is a wasteful number, since it uses less digits than its factorization.

665656416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21724 (or 21713 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 665656416 is about 25800.3181375734. The cubic root of 665656416 is about 873.1389740296.

The spelling of 665656416 in words is "six hundred sixty-five million, six hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1712 1926 2568 3424 3852 5136 7704 10272 15408 21601 30816 43202 64803 86404 129606 172808 194409 259212 345616 388818 518424 691232 777636 1036848 1555272 2073696 2311307 3110544 4622614 6221088 6933921 9245228 13867842 18490456 20801763 27735684 36980912 41603526 55471368 73961824 83207052 110942736 166414104 221885472 332828208 665656416