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4930806144 = 273112106121
BaseRepresentation
bin1001001011110011…
…00010000110000000
3110201122011220102210
410211321202012000
540044241244034
62133140142120
7233122106055
oct44571420600
913648156383
104930806144
112100347700
12b57397940
13607712c94
1434ac0d02c
151dcd398e9
hex125e62180

4930806144 has 96 divisors (see below), whose sum is σ = 14396510520. Its totient is φ = 1494169600.

The previous prime is 4930806121. The next prime is 4930806211. The reversal of 4930806144 is 4416080394.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6597 + ... + 99524.

Almost surely, 24930806144 is an apocalyptic number.

4930806144 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 4930806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7198255260).

4930806144 is an abundant number, since it is smaller than the sum of its proper divisors (9465704376).

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

4930806144 is a wasteful number, since it uses less digits than its factorization.

4930806144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106160 (or 106137 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 4930806144 is about 70219.6991164160. The cubic root of 4930806144 is about 1702.0512890031.

The spelling of 4930806144 in words is "four billion, nine hundred thirty million, eight hundred six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5808 7744 11616 15488 23232 46464 106121 212242 318363 424484 636726 848968 1167331 1273452 1697936 2334662 2546904 3395872 3501993 4669324 5093808 6791744 7003986 9338648 10187616 12840641 13583488 14007972 18677296 20375232 25681282 28015944 37354592 38521923 40750464 51362564 56031888 74709184 77043846 102725128 112063776 149418368 154087692 205450256 224127552 308175384 410900512 448255104 616350768 821801024 1232701536 1643602048 2465403072 4930806144