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4818480084 = 223211101911941
BaseRepresentation
bin1000111110011010…
…00010101111010100
3110102210211011001100
410133031002233110
534332012330314
62114044430100
7230256255615
oct43715025724
913383734040
104818480084
1120529a7450
12b25848330
135ba374c62
14339d2dc0c
151d304cc09
hex11f342bd4

4818480084 has 72 divisors (see below), whose sum is σ = 13301477280. Its totient is φ = 1458590400.

The previous prime is 4818480083. The next prime is 4818480089. The reversal of 4818480084 is 4800848184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4818480083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397554 + ... + 409494.

It is an arithmetic number, because the mean of its divisors is an integer number (184742740).

Almost surely, 24818480084 is an apocalyptic number.

4818480084 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 4818480084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6650738640).

4818480084 is an abundant number, since it is smaller than the sum of its proper divisors (8482997196).

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

4818480084 is a wasteful number, since it uses less digits than its factorization.

4818480084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12981 (or 12976 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The square root of 4818480084 is about 69415.2726998893. The cubic root of 4818480084 is about 1689.0273786795.

The spelling of 4818480084 in words is "four billion, eight hundred eighteen million, four hundred eighty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1019 2038 3057 4076 6114 9171 11209 11941 12228 18342 22418 23882 33627 35823 36684 44836 47764 67254 71646 100881 107469 131351 134508 143292 201762 214938 262702 394053 403524 429876 525404 788106 1182159 1576212 2364318 4728636 12167879 24335758 36503637 48671516 73007274 109510911 133846669 146014548 219021822 267693338 401540007 438043644 535386676 803080014 1204620021 1606160028 2409240042 4818480084