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4649119464 = 2331173317761
BaseRepresentation
bin1000101010001101…
…11110111011101000
3110000000010201221210
410111012332323220
534010133310324
62045154433120
7223131602103
oct42506767350
913000121853
104649119464
111a763412a0
12a98b927a0
13591257982
1432164573a
151c3246d29
hex1151beee8

4649119464 has 128 divisors (see below), whose sum is σ = 12910596480. Its totient is φ = 1383321600.

The previous prime is 4649119439. The next prime is 4649119469.

4649119464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46491194642 = 43228623581087294592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4649119469) 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, 6108844 + ... + 6109604.

It is an arithmetic number, because the mean of its divisors is an integer number (100864035).

Almost surely, 24649119464 is an apocalyptic number.

4649119464 is a gapful number since it is divisible by the number (44) 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 4649119464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6455298240).

4649119464 is an abundant number, since it is smaller than the sum of its proper divisors (8261477016).

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

4649119464 is a wasteful number, since it uses less digits than its factorization.

4649119464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1167 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 4649119464 is about 68184.4517760464. The cubic root of 4649119464 is about 1669.0021725099.

The spelling of 4649119464 in words is "four billion, six hundred forty-nine million, one hundred nineteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 317 438 584 634 761 803 876 951 1268 1522 1606 1752 1902 2283 2409 2536 3044 3212 3487 3804 4566 4818 6088 6424 6974 7608 8371 9132 9636 10461 13948 16742 18264 19272 20922 23141 25113 27896 33484 41844 46282 50226 55553 66968 69423 83688 92564 100452 111106 138846 166659 185128 200904 222212 241237 254551 277692 333318 444424 482474 509102 555384 611083 666636 723711 763653 964948 1018204 1222166 1333272 1447422 1527306 1833249 1929896 2036408 2444332 2653607 2894844 3054612 3666498 4888664 5307214 5789688 6109224 7332996 7960821 10614428 14665992 15921642 17610301 21228856 31843284 35220602 52830903 63686568 70441204 105661806 140882408 193713311 211323612 387426622 422647224 581139933 774853244 1162279866 1549706488 2324559732 4649119464