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4930666560 = 263353141449
BaseRepresentation
bin1001001011110010…
…00000000001000000
3110201121220210222000
410211321000001000
540044222312220
62133133144000
7233120655111
oct44571000100
913647823860
104930666560
112100261846
12b5732b000
136076945a1
1434abb4208
151dcd0d390
hex125e40040

4930666560 has 448 divisors, whose sum is σ = 18434304000. Its totient is φ = 1238630400.

The previous prime is 4930666541. The next prime is 4930666567. The reversal of 4930666560 is 656660394.

It is a super-2 number, since 2×49306665602 = 48622945451804467200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4930666567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10981216 + ... + 10981664.

It is an arithmetic number, because the mean of its divisors is an integer number (41148000).

Almost surely, 24930666560 is an apocalyptic number.

4930666560 is a gapful number since it is divisible by the number (40) 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 4930666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9217152000).

4930666560 is an abundant number, since it is smaller than the sum of its proper divisors (13503637440).

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

4930666560 is a wasteful number, since it uses less digits than its factorization.

4930666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 4930666560 is about 70218.7052002527. The cubic root of 4930666560 is about 1702.0352279804.

The spelling of 4930666560 in words is "four billion, nine hundred thirty million, six hundred sixty-six thousand, five hundred sixty".