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4484682664 = 2372114125367
BaseRepresentation
bin1000010110100111…
…01101001110101000
3102120112201111001221
410023103231032220
533141034321124
62021002151424
7216064113400
oct41323551650
912515644057
104484682664
1119a1539510
12a51ab2574
135661728a7
1430787d800
151b3ab4ce4
hex10b4ed3a8

4484682664 has 96 divisors (see below), whose sum is σ = 10931578560. Its totient is φ = 1704595200.

The previous prime is 4484682661. The next prime is 4484682667. The reversal of 4484682664 is 4662864844.

It is an interprime number because it is at equal distance from previous prime (4484682661) and next prime (4484682667).

It is a super-2 number, since 2×44846826642 = 40224757193564273792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4484682661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164109 + ... + 189475.

It is an arithmetic number, because the mean of its divisors is an integer number (113870610).

Almost surely, 24484682664 is an apocalyptic number.

4484682664 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 4484682664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465789280).

4484682664 is an abundant number, since it is smaller than the sum of its proper divisors (6446895896).

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

4484682664 is a wasteful number, since it uses less digits than its factorization.

4484682664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25439 (or 25428 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 52.

The square root of 4484682664 is about 66967.7733241893. The cubic root of 4484682664 is about 1649.0882828501.

The spelling of 4484682664 in words is "four billion, four hundred eighty-four million, six hundred eighty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 41 44 49 56 77 82 88 98 154 164 196 287 308 328 392 451 539 574 616 902 1078 1148 1804 2009 2156 2296 3157 3608 4018 4312 6314 8036 12628 16072 22099 25256 25367 44198 50734 88396 101468 176792 177569 202936 279037 355138 558074 710276 1040047 1116148 1242983 1420552 1953259 2080094 2232296 2485966 3906518 4160188 4971932 7280329 7813036 8320376 9943864 11440517 13672813 14560658 15626072 22881034 27345626 29121316 45762068 50962303 54691252 58242632 80083619 91524136 101924606 109382504 160167238 203849212 320334476 407698424 560585333 640668952 1121170666 2242341332 4484682664