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2555663328 = 2532107239347
BaseRepresentation
bin1001100001010100…
…0101001111100000
320121002221011000100
42120111011033200
520213222211303
61101332422400
7120221531331
oct23025051740
96532834010
102555663328
1110a1672759
125b3a77a00
1331961b52a
141a35c0288
15ee5738a3
hex985453e0

2555663328 has 144 divisors (see below), whose sum is σ = 7387511040. Its totient is φ = 837973248.

The previous prime is 2555663323. The next prime is 2555663359. The reversal of 2555663328 is 8233665552.

2555663328 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 6 + 633 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2555663321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7364851 + ... + 7365197.

It is an arithmetic number, because the mean of its divisors is an integer number (51302160).

Almost surely, 22555663328 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 2555663328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693755520).

2555663328 is an abundant number, since it is smaller than the sum of its proper divisors (4831847712).

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

2555663328 is a wasteful number, since it uses less digits than its factorization.

2555663328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 698 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The square root of 2555663328 is about 50553.5688947872. The cubic root of 2555663328 is about 1367.2078619112.

The spelling of 2555663328 in words is "two billion, five hundred fifty-five million, six hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 239 288 321 347 428 478 642 694 717 856 956 963 1041 1284 1388 1434 1712 1912 1926 2082 2151 2568 2776 2868 3123 3424 3824 3852 4164 4302 5136 5552 5736 6246 7648 7704 8328 8604 10272 11104 11472 12492 15408 16656 17208 22944 24984 25573 30816 33312 34416 37129 49968 51146 68832 74258 76719 82933 99936 102292 111387 148516 153438 165866 204584 222774 230157 248799 297032 306876 331732 334161 409168 445548 460314 497598 594064 613752 663464 668322 746397 818336 891096 920628 995196 1188128 1227504 1326928 1336644 1492794 1782192 1841256 1990392 2455008 2653856 2673288 2985588 3564384 3682512 3980784 5346576 5971176 7365024 7961568 8873831 10693152 11942352 17747662 23884704 26621493 35495324 53242986 70990648 79864479 106485972 141981296 159728958 212971944 283962592 319457916 425943888 638915832 851887776 1277831664 2555663328