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4996780056 = 233319264081
BaseRepresentation
bin1001010011101010…
…01101000000011000
3110220020022201122000
410221311031000120
540213133430211
62143454201000
7234552633612
oct45165150030
913806281560
104996780056
1121346088a4
12b754b3160
136182a20b8
143558a3db2
151e3a1c656
hex129d4d018

4996780056 has 96 divisors (see below), whose sum is σ = 14649145200. Its totient is φ = 1577905920.

The previous prime is 4996780051. The next prime is 4996780111. The reversal of 4996780056 is 6500876994.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4996779984 and 4996780011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4996780051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45936 + ... + 110016.

Almost surely, 24996780056 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 4996780056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7324572600).

4996780056 is an abundant number, since it is smaller than the sum of its proper divisors (9652365144).

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

4996780056 is a wasteful number, since it uses less digits than its factorization.

4996780056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64134 (or 64105 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 4996780056 is about 70687.9060094441. The cubic root of 4996780056 is about 1709.6087993999.

The spelling of 4996780056 in words is "four billion, nine hundred ninety-six million, seven hundred eighty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 361 456 513 684 722 1026 1083 1368 1444 2052 2166 2888 3249 4104 4332 6498 8664 9747 12996 19494 25992 38988 64081 77976 128162 192243 256324 384486 512648 576729 768972 1153458 1217539 1537944 1730187 2306916 2435078 3460374 3652617 4613832 4870156 6920748 7305234 9740312 10957851 13841496 14610468 21915702 23133241 29220936 32873553 43831404 46266482 65747106 69399723 87662808 92532964 131494212 138799446 185065928 208199169 262988424 277598892 416398338 555197784 624597507 832796676 1249195014 1665593352 2498390028 4996780056