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384220051728 = 243101472916759
BaseRepresentation
bin1011001011101010100…
…11001011100100010000
31100201201221210221102020
411211311103023210100
522243340313123403
6452301441051440
736521221360632
oct5456523134420
91321657727366
10384220051728
11138a46225737
126256a626b80
132a302340246
141484c552a52
159edb3bd453
hex59754cb910

384220051728 has 80 divisors (see below), whose sum is σ = 1002667670400. Its totient is φ = 126770918400.

The previous prime is 384220051703. The next prime is 384220051757. The reversal of 384220051728 is 827150022483.

It is a self number, because there is not a number n which added to its sum of digits gives 384220051728.

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, 22917813 + ... + 22934571.

It is an arithmetic number, because the mean of its divisors is an integer number (12533345880).

Almost surely, 2384220051728 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 384220051728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501333835200).

384220051728 is an abundant number, since it is smaller than the sum of its proper divisors (618447618672).

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

384220051728 is a wasteful number, since it uses less digits than its factorization.

384220051728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21600 (or 21594 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 384220051728 in words is "three hundred eighty-four billion, two hundred twenty million, fifty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4729 4848 9458 14187 16759 18916 28374 33518 37832 50277 56748 67036 75664 100554 113496 134072 201108 226992 268144 402216 477629 804432 955258 1432887 1692659 1910516 2865774 3385318 3821032 5077977 5731548 6770636 7642064 10155954 11463096 13541272 20311908 22926192 27082544 40623816 79253311 81247632 158506622 237759933 317013244 475519866 634026488 951039732 1268052976 1902079464 3804158928 8004584411 16009168822 24013753233 32018337644 48027506466 64036675288 96055012932 128073350576 192110025864 384220051728