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4868061760 = 265100915077
BaseRepresentation
bin1001000100010100…
…01011101001000000
3110120021010011022201
410202022023221000
534432210434020
62123015242544
7231430561612
oct44212135100
913507104281
104868061760
112078991941
12b3a379454
135c7714b23
14342758db2
151d7593a0a
hex12228ba40

4868061760 has 56 divisors (see below), whose sum is σ = 11604330360. Its totient is φ = 1945165824.

The previous prime is 4868061677. The next prime is 4868061797. The reversal of 4868061760 is 671608684.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33918976 + 4834142784 = 5824^2 + 69528^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4868061760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315342 + ... + 330418.

It is an arithmetic number, because the mean of its divisors is an integer number (207220185).

Almost surely, 24868061760 is an apocalyptic number.

4868061760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4868061760 is an abundant number, since it is smaller than the sum of its proper divisors (6736268600).

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

4868061760 is a wasteful number, since it uses less digits than its factorization.

4868061760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16103 (or 16093 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 4868061760 is about 69771.4967590634. The cubic root of 4868061760 is about 1694.8009279988.

It can be divided in two parts, 486806 and 1760, that added together give a triangular number (488566 = T988).

The spelling of 4868061760 in words is "four billion, eight hundred sixty-eight million, sixty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1009 2018 4036 5045 8072 10090 15077 16144 20180 30154 32288 40360 60308 64576 75385 80720 120616 150770 161440 241232 301540 322880 482464 603080 964928 1206160 2412320 4824640 15212693 30425386 60850772 76063465 121701544 152126930 243403088 304253860 486806176 608507720 973612352 1217015440 2434030880 4868061760