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4384793616 = 243728920947
BaseRepresentation
bin1000001010101101…
…01010010000010000
3102022120202121001120
410011112222100100
532440001343431
62003033202240
7213442062600
oct40526522020
912276677046
104384793616
111950113385
12a24560380
1354b56a748
142d84bac00
151a9e33196
hex1055aa410

4384793616 has 120 divisors (see below), whose sum is σ = 13325441760. Its totient is φ = 1238662656.

The previous prime is 4384793593. The next prime is 4384793659. The reversal of 4384793616 is 6163974834.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198855 + ... + 219801.

It is an arithmetic number, because the mean of its divisors is an integer number (111045348).

Almost surely, 24384793616 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 4384793616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662720880).

4384793616 is an abundant number, since it is smaller than the sum of its proper divisors (8940648144).

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

4384793616 is a wasteful number, since it uses less digits than its factorization.

4384793616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21061 (or 21048 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 4384793616 is about 66217.7741697801. The cubic root of 4384793616 is about 1636.7526481506.

The spelling of 4384793616 in words is "four billion, three hundred eighty-four million, seven hundred ninety-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 89 98 112 147 168 178 196 267 294 336 356 392 534 588 623 712 784 1068 1176 1246 1424 1869 2136 2352 2492 3738 4272 4361 4984 7476 8722 9968 13083 14952 17444 20947 26166 29904 34888 41894 52332 62841 69776 83788 104664 125682 146629 167576 209328 251364 293258 335152 439887 502728 586516 879774 1005456 1026403 1173032 1759548 1864283 2052806 2346064 3079209 3519096 3728566 4105612 5592849 6158418 7038192 7457132 8211224 11185698 12316836 13049981 14914264 16422448 22371396 24633672 26099962 29828528 39149943 44742792 49267344 52199924 78299886 89485584 91349867 104399848 156599772 182699734 208799696 274049601 313199544 365399468 548099202 626399088 730798936 1096198404 1461597872 2192396808 4384793616