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3821784064 = 21071633271
BaseRepresentation
bin1110001111001011…
…1100110000000000
3100212100100202010221
43203302330300000
530311334042224
61431122032424
7163464425410
oct34362746000
910770322127
103821784064
11169132aa2a
128a7aa8714
1348ba238b7
14283802640
151757c06e4
hexe3cbcc00

3821784064 has 88 divisors (see below), whose sum is σ = 8787492608. Its totient is φ = 1627361280.

The previous prime is 3821784041. The next prime is 3821784079. The reversal of 3821784064 is 4604871283.

It is a self number, because there is not a number n which added to its sum of digits gives 3821784064.

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, 1166749 + ... + 1170019.

Almost surely, 23821784064 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 3821784064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393746304).

3821784064 is an abundant number, since it is smaller than the sum of its proper divisors (4965708544).

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

3821784064 is a wasteful number, since it uses less digits than its factorization.

3821784064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 3821784064 is about 61820.5796155293. The cubic root of 3821784064 is about 1563.4669856422.

The spelling of 3821784064 in words is "three billion, eight hundred twenty-one million, seven hundred eighty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 163 224 256 326 448 512 652 896 1024 1141 1304 1792 2282 2608 3271 3584 4564 5216 6542 7168 9128 10432 13084 18256 20864 22897 26168 36512 41728 45794 52336 73024 83456 91588 104672 146048 166912 183176 209344 292096 366352 418688 533173 584192 732704 837376 1066346 1168384 1465408 1674752 2132692 2930816 3349504 3732211 4265384 5861632 7464422 8530768 11723264 14928844 17061536 23446528 29857688 34123072 59715376 68246144 119430752 136492288 238861504 272984576 477723008 545969152 955446016 1910892032 3821784064