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5603885056 = 2157112221
BaseRepresentation
bin1010011100000010…
…01000000000000000
3112110112200212010101
411032001020000000
542434043310211
62324022412144
7255604144210
oct51601100000
915415625111
105603885056
112416279870
121104891054
136b3cb7923
143b237a240
1522be905c1
hex14e048000

5603885056 has 128 divisors (see below), whose sum is σ = 13979401920. Its totient is φ = 2182348800.

The previous prime is 5603885051. The next prime is 5603885101. The reversal of 5603885056 is 6505883065.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5603884997 and 5603885015.

It is not an unprimeable number, because it can be changed into a prime (5603885051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2522026 + ... + 2524246.

Almost surely, 25603885056 is an apocalyptic number.

5603885056 is a gapful number since it is divisible by the number (56) 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 5603885056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6989700960).

5603885056 is an abundant number, since it is smaller than the sum of its proper divisors (8375516864).

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

5603885056 is an equidigital number, since it uses as much as digits as its factorization.

5603885056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The square root of 5603885056 is about 74859.1013571496. The cubic root of 5603885056 is about 1776.2185700751.

The spelling of 5603885056 in words is "five billion, six hundred three million, eight hundred eighty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1024 1232 1408 1792 2048 2221 2464 2816 3584 4096 4442 4928 5632 7168 8192 8884 9856 11264 14336 15547 16384 17768 19712 22528 24431 28672 31094 32768 35536 39424 45056 48862 57344 62188 71072 78848 90112 97724 114688 124376 142144 157696 171017 180224 195448 229376 248752 284288 315392 342034 360448 390896 497504 568576 630784 684068 781792 995008 1137152 1261568 1368136 1563584 1990016 2274304 2523136 2736272 3127168 3980032 4548608 5472544 6254336 7960064 9097216 10945088 12508672 15920128 18194432 21890176 25017344 31840256 36388864 43780352 50034688 63680512 72777728 87560704 100069376 127361024 175121408 200138752 254722048 350242816 400277504 509444096 700485632 800555008 1400971264 2801942528 5603885056