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5581971696 = 243719877997
BaseRepresentation
bin1010011001011011…
…00010000011110000
3112102000110112122110
411030231202003300
542412441043241
62321521005320
7255216655650
oct51455420360
915360415573
105581971696
112404971a54
1210b9483840
136ac5b4642
143ad4b4360
1522a0b2816
hex14cb620f0

5581971696 has 160 divisors (see below), whose sum is σ = 17384680960. Its totient is φ = 1507673088.

The previous prime is 5581971673. The next prime is 5581971697. The reversal of 5581971696 is 6961791855.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5581971697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5598270 + ... + 5599266.

It is an arithmetic number, because the mean of its divisors is an integer number (108654256).

Almost surely, 25581971696 is an apocalyptic number.

5581971696 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 5581971696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8692340480).

5581971696 is an abundant number, since it is smaller than the sum of its proper divisors (11802709264).

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

5581971696 is a wasteful number, since it uses less digits than its factorization.

5581971696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1905 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 57.

The square root of 5581971696 is about 74712.5939584485. The cubic root of 5581971696 is about 1773.9003116027.

The spelling of 5581971696 in words is "five billion, five hundred eighty-one million, nine hundred seventy-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 877 912 997 1064 1596 1754 1994 2128 2631 2991 3192 3508 3988 5262 5982 6139 6384 6979 7016 7976 10524 11964 12278 13958 14032 15952 16663 18417 18943 20937 21048 23928 24556 27916 33326 36834 37886 41874 42096 47856 49112 49989 55832 56829 66652 73668 75772 83748 98224 99978 111664 113658 116641 132601 133304 147336 151544 167496 199956 227316 233282 265202 266608 294672 303088 334992 349923 397803 399912 454632 466564 530404 699846 795606 799824 874369 909264 933128 1060808 1399692 1591212 1748738 1866256 2121616 2623107 2799384 3182424 3497476 5246214 5598768 6120583 6364848 6994952 10492428 12241166 13989904 16613011 18361749 20984856 24482332 33226022 36723498 41969712 48964664 49839033 66452044 73446996 97929328 99678066 116291077 132904088 146893992 199356132 232582154 265808176 293787984 348873231 398712264 465164308 697746462 797424528 930328616 1395492924 1860657232 2790985848 5581971696