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5575854752 = 2513175091549
BaseRepresentation
bin1010011000101100…
…01100101010100000
3112101120221202202222
411030112030222200
542404404323002
62321141530212
7255113661206
oct51426145240
915346852688
105575854752
112401474226
1210b7413968
136ab252350
143ac761076
152297a51a2
hex14c58caa0

5575854752 has 96 divisors (see below), whose sum is σ = 12549978000. Its totient is φ = 2415771648.

The previous prime is 5575854751. The next prime is 5575854797. The reversal of 5575854752 is 2574585755.

It can be written as a sum of positive squares in 8 ways, for example, as 3006986896 + 2568867856 = 54836^2 + 50684^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5575854694 and 5575854703.

It is not an unprimeable number, because it can be changed into a prime (5575854751) 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 15 ways as a sum of consecutive naturals, for example, 3598874 + ... + 3600422.

Almost surely, 25575854752 is an apocalyptic number.

5575854752 is a gapful number since it is divisible by the number (52) 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 5575854752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274989000).

5575854752 is an abundant number, since it is smaller than the sum of its proper divisors (6974123248).

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

5575854752 is a wasteful number, since it uses less digits than its factorization.

5575854752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2090 counting only the distinct ones).

The product of its digits is 9800000, while the sum is 53.

The square root of 5575854752 is about 74671.6462387163. The cubic root of 5575854752 is about 1773.2521048716.

The spelling of 5575854752 in words is "five billion, five hundred seventy-five million, eight hundred fifty-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 509 544 884 1018 1549 1768 2036 3098 3536 4072 6196 6617 7072 8144 8653 12392 13234 16288 17306 20137 24784 26333 26468 34612 40274 49568 52666 52936 69224 80548 105332 105872 112489 138448 161096 210664 211744 224978 276896 322192 342329 421328 449956 644384 684658 788441 842656 899912 1369316 1576882 1799824 2738632 3153764 3599648 5477264 6307528 10249733 10954528 12615056 13403497 20499466 25230112 26806994 40998932 53613988 81997864 107227976 163995728 174245461 214455952 327991456 348490922 428911904 696981844 1393963688 2787927376 5575854752