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29091019092 = 223197910115991
BaseRepresentation
bin11011000101111101…
…011011100101010100
32210002101212212222120
4123011331123211110
5434034300102332
621210401255540
72046621403512
oct330575334524
983071785876
1029091019092
1111379138243
12577a6345b0
132987c75985
14159d8314b2
15b53e2632c
hex6c5f5b954

29091019092 has 96 divisors (see below), whose sum is σ = 73077043200. Its totient is φ = 8979984000.

The previous prime is 29091019057. The next prime is 29091019121.

29091019092 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×290910190922 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1811217 + ... + 1827207.

It is an arithmetic number, because the mean of its divisors is an integer number (761219200).

Almost surely, 229091019092 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 29091019092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36538521600).

29091019092 is an abundant number, since it is smaller than the sum of its proper divisors (43986024108).

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

29091019092 is a wasteful number, since it uses less digits than its factorization.

29091019092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16197 (or 16195 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 42.

The spelling of 29091019092 in words is "twenty-nine billion, ninety-one million, nineteen thousand, ninety-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 79 101 114 158 202 228 237 303 316 404 474 606 948 1212 1501 1919 3002 3838 4503 5757 6004 7676 7979 9006 11514 15958 15991 18012 23028 23937 31916 31982 47874 47973 63964 95748 95946 151601 191892 303202 303829 454803 606404 607658 909606 911487 1215316 1263289 1615091 1819212 1822974 2526578 3230182 3645948 3789867 4845273 5053156 6460364 7579734 9690546 15159468 19381092 24002491 30686729 48004982 61373458 72007473 92060187 96009964 122746916 127592189 144014946 184120374 255184378 288029892 368240748 382776567 510368756 765553134 1531106268 2424251591 4848503182 7272754773 9697006364 14545509546 29091019092