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5675676672 = 21038920759
BaseRepresentation
bin1010100100100101…
…11111010000000000
3112122112210020201010
411102102333100000
543110433123142
62335105240520
7260435312211
oct52222772000
915575706633
105675676672
112452853986
121124933140
136c5b32a83
143bbb07408
15233421e9c
hex1524bf400

5675676672 has 88 divisors (see below), whose sum is σ = 15298459200. Its totient is φ = 1870544896.

The previous prime is 5675676569. The next prime is 5675676709. The reversal of 5675676672 is 2766765765.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 263029 + ... + 283787.

Almost surely, 25675676672 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 5675676672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7649229600).

5675676672 is an abundant number, since it is smaller than the sum of its proper divisors (9622782528).

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

5675676672 is a wasteful number, since it uses less digits than its factorization.

5675676672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20871 (or 20853 counting only the distinct ones).

The product of its digits is 22226400, while the sum is 57.

The square root of 5675676672 is about 75337.0869625313. The cubic root of 5675676672 is about 1783.7714789702.

The spelling of 5675676672 in words is "five billion, six hundred seventy-five million, six hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 512 534 712 768 1024 1068 1424 1536 2136 2848 3072 4272 5696 8544 11392 17088 20759 22784 34176 41518 45568 62277 68352 83036 91136 124554 136704 166072 249108 273408 332144 498216 664288 996432 1328576 1847551 1992864 2657152 3695102 3985728 5314304 5542653 7390204 7971456 10628608 11085306 14780408 15942912 21257216 22170612 29560816 31885824 44341224 59121632 63771648 88682448 118243264 177364896 236486528 354729792 472973056 709459584 945946112 1418919168 1891892224 2837838336 5675676672