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655043016032 = 25293189255841
BaseRepresentation
bin10011000100000111001…
…10110011010101100000
32022121210001222222120122
421202003212303111200
541213012003003112
61220531141055412
765216401524266
oct11420346632540
92277701888518
10655043016032
11232890784199
12a6b506b7568
1349a0243a392
14239c0672436
151208c314872
hex98839b3560

655043016032 has 96 divisors (see below), whose sum is σ = 1392599174400. Its totient is φ = 302587084800.

The previous prime is 655043016029. The next prime is 655043016037. The reversal of 655043016032 is 230610340556.

It is a junction number, because it is equal to n+sod(n) for n = 655043015983 and 655043016001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655043016037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2432432 + ... + 2688272.

It is an arithmetic number, because the mean of its divisors is an integer number (14506241400).

Almost surely, 2655043016032 is an apocalyptic number.

655043016032 is a gapful number since it is divisible by the number (62) 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 655043016032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696299587200).

655043016032 is an abundant number, since it is smaller than the sum of its proper divisors (737556158368).

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

655043016032 is a wasteful number, since it uses less digits than its factorization.

655043016032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256000 (or 255992 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 655043016032 its reverse (230610340556), we get a palindrome (885653356588).

The spelling of 655043016032 in words is "six hundred fifty-five billion, forty-three million, sixteen thousand, thirty-two".

Divisors: 1 2 4 8 16 29 31 32 58 62 89 116 124 178 232 248 356 464 496 712 899 928 992 1424 1798 2581 2759 2848 3596 5162 5518 7192 10324 11036 14384 20648 22072 28768 41296 44144 80011 82592 88288 160022 255841 320044 511682 640088 1023364 1280176 2046728 2560352 4093456 7419389 7931071 8186912 14838778 15862142 22769849 29677556 31724284 45539698 59355112 63448568 91079396 118710224 126897136 182158792 230001059 237420448 253794272 364317584 460002118 660325621 705865319 728635168 920004236 1320651242 1411730638 1840008472 2641302484 2823461276 3680016944 5282604968 5646922552 7360033888 10565209936 11293845104 20470094251 21130419872 22587690208 40940188502 81880377004 163760754008 327521508016 655043016032