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4385356412928 = 2113974373259
BaseRepresentation
bin111111110100001011100…
…111000111100000000000
3120112020101000202202212020
4333310023213013200000
51033322202220203203
613154334355201440
7631555135321341
oct77641347074000
916466330682766
104385356412928
111440901407297
125a9ab2ba6280
1325a6ca6aab4a
141123767780c8
1579116ee3153
hex3fd0b9c7800

4385356412928 has 96 divisors (see below), whose sum is σ = 11692788307200. Its totient is φ = 1461615484928.

The previous prime is 4385356412917. The next prime is 4385356412947. The reversal of 4385356412928 is 8292146535834.

It is a tau number, because it is divible by the number of its divisors (96).

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, 59824363 + ... + 59897621.

It is an arithmetic number, because the mean of its divisors is an integer number (121799878200).

Almost surely, 24385356412928 is an apocalyptic number.

4385356412928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4385356412928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846394153600).

4385356412928 is an abundant number, since it is smaller than the sum of its proper divisors (7307431894272).

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

4385356412928 is an equidigital number, since it uses as much as digits as its factorization.

4385356412928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83027 (or 83007 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 60.

The spelling of 4385356412928 in words is "four trillion, three hundred eighty-five billion, three hundred fifty-six million, four hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 9743 19486 29229 38972 58458 73259 77944 116916 146518 155888 219777 233832 293036 311776 439554 467664 586072 623552 879108 935328 1172144 1247104 1758216 1870656 2344288 2494208 3516432 3741312 4688576 4988416 7032864 7482624 9377152 9976832 14065728 14965248 18754304 19953664 28131456 29930496 37508608 56262912 59860992 75017216 112525824 150034432 225051648 450103296 713762437 1427524874 2141287311 2855049748 4282574622 5710099496 8565149244 11420198992 17130298488 22840397984 34260596976 45680795968 68521193952 91361591936 137042387904 182723183872 274084775808 365446367744 548169551616 730892735488 1096339103232 1461785470976 2192678206464 4385356412928