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416221665380 = 225298350317189
BaseRepresentation
bin1100000111010001011…
…11101001100001100100
31110210100012111100112022
412003220233221201210
523304410221243010
6515113134442312
742033234532043
oct6035057514144
91423305440468
10416221665380
11150578308724
12687bb963398
13303322c6001
141620675655a
15ac60ac7d55
hex60e8be9864

416221665380 has 96 divisors (see below), whose sum is σ = 916972358400. Its totient is φ = 158486010368.

The previous prime is 416221665373. The next prime is 416221665403. The reversal of 416221665380 is 83566122614.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24205826 + ... + 24223014.

It is an arithmetic number, because the mean of its divisors is an integer number (9551795400).

Almost surely, 2416221665380 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 416221665380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458486179200).

416221665380 is an abundant number, since it is smaller than the sum of its proper divisors (500750693020).

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

416221665380 is a wasteful number, since it uses less digits than its factorization.

416221665380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17813 (or 17811 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

Adding to 416221665380 its reverse (83566122614), we get a palindrome (499787787994).

The spelling of 416221665380 in words is "four hundred sixteen billion, two hundred twenty-one million, six hundred sixty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 83 116 145 166 290 332 415 503 580 830 1006 1660 2012 2407 2515 4814 5030 9628 10060 12035 14587 17189 24070 29174 34378 41749 48140 58348 68756 72935 83498 85945 145870 166996 171890 208745 291740 343780 417490 498481 834980 996962 1210721 1426687 1993924 2421442 2492405 2853374 4842884 4984810 5706748 6053605 7133435 8646067 9969620 12107210 14266870 17292134 24214420 28533740 34584268 41373923 43230335 82747846 86460670 165495692 172921340 206869615 250735943 413739230 501471886 717623561 827478460 1002943772 1253679715 1435247122 2507359430 2870494244 3588117805 5014718860 7176235610 14352471220 20811083269 41622166538 83244333076 104055416345 208110832690 416221665380