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3118085136 = 2432195092239
BaseRepresentation
bin1011100111011010…
…0011010000010000
322001022020010200200
42321312203100100
522341212211021
61233223215200
7140161200135
oct27166432020
98038203620
103118085136
111360094571
127302a7500
133a8cba9ba
1421818458c
15133b1c126
hexb9da3410

3118085136 has 120 divisors (see below), whose sum is σ = 9207744000. Its totient is φ = 982285056.

The previous prime is 3118085129. The next prime is 3118085147. The reversal of 3118085136 is 6315808113.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3118085136.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1391505 + ... + 1393743.

It is an arithmetic number, because the mean of its divisors is an integer number (76731200).

Almost surely, 23118085136 is an apocalyptic number.

3118085136 is a gapful number since it is divisible by the number (36) 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 3118085136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603872000).

3118085136 is an abundant number, since it is smaller than the sum of its proper divisors (6089658864).

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

3118085136 is a wasteful number, since it uses less digits than its factorization.

3118085136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 3118085136 is about 55839.8167618770. The cubic root of 3118085136 is about 1460.9297162141.

The spelling of 3118085136 in words is "three billion, one hundred eighteen million, eighty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 509 684 912 1018 1368 1527 2036 2239 2736 3054 4072 4478 4581 6108 6717 8144 8956 9162 9671 12216 13434 17912 18324 19342 20151 24432 26868 29013 35824 36648 38684 40302 42541 53736 58026 73296 77368 80604 85082 87039 107472 116052 127623 154736 161208 170164 174078 232104 255246 322416 340328 348156 382869 464208 510492 680656 696312 765738 1020984 1139651 1392624 1531476 2041968 2279302 3062952 3418953 4558604 6125904 6837906 9117208 10256859 13675812 18234416 20513718 21653369 27351624 41027436 43306738 54703248 64960107 82054872 86613476 129920214 164109744 173226952 194880321 259840428 346453904 389760642 519680856 779521284 1039361712 1559042568 3118085136