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4930657776 = 24321119173947
BaseRepresentation
bin1001001011110001…
…11101110111110000
3110201121220100220200
410211320331313300
540044222022101
62133133035200
7233120620362
oct44570756760
913647810820
104930657776
112100256190
12b57325b00
136076905a5
1434abb0d32
151dcd0a986
hex125e3ddf0

4930657776 has 240 divisors, whose sum is σ = 15954157440. Its totient is φ = 1405831680.

The previous prime is 4930657759. The next prime is 4930657783. The reversal of 4930657776 is 6777560394.

It is a super-2 number, since 2×49306577762 = 48622772208058532352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5206135 + ... + 5207081.

It is an arithmetic number, because the mean of its divisors is an integer number (66475656).

Almost surely, 24930657776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4930657776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7977078720).

4930657776 is an abundant number, since it is smaller than the sum of its proper divisors (11023499664).

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

4930657776 is a wasteful number, since it uses less digits than its factorization.

4930657776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The square root of 4930657776 is about 70218.6426527884. The cubic root of 4930657776 is about 1702.0342172525.

The spelling of 4930657776 in words is "four billion, nine hundred thirty million, six hundred fifty-seven thousand, seven hundred seventy-six".