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4946375680 = 21051277607
BaseRepresentation
bin1001001101101001…
…11011010000000000
3110202201110220211021
410212310323100000
540112233010210
62134453555224
7233401333231
oct44664732000
913681426737
104946375680
112109111294
12b60645b14
1360aa0491c
1434cd03088
151de3b2bda
hex126d3b400

4946375680 has 88 divisors (see below), whose sum is σ = 11960506368. Its totient is φ = 1962713088.

The previous prime is 4946375591. The next prime is 4946375713. The reversal of 4946375680 is 865736494.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 646437 + ... + 654043.

Almost surely, 24946375680 is an apocalyptic number.

4946375680 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 4946375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5980253184).

4946375680 is an abundant number, since it is smaller than the sum of its proper divisors (7014130688).

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

4946375680 is a wasteful number, since it uses less digits than its factorization.

4946375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7759 (or 7741 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The square root of 4946375680 is about 70330.4747602346. The cubic root of 4946375680 is about 1703.8408750290.

The spelling of 4946375680 in words is "four billion, nine hundred forty-six million, three hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 508 512 635 640 1016 1024 1270 1280 2032 2540 2560 4064 5080 5120 7607 8128 10160 15214 16256 20320 30428 32512 38035 40640 60856 65024 76070 81280 121712 130048 152140 162560 243424 304280 325120 486848 608560 650240 966089 973696 1217120 1932178 1947392 2434240 3864356 3894784 4830445 4868480 7728712 7789568 9660890 9736960 15457424 19321780 19473920 30914848 38643560 38947840 61829696 77287120 123659392 154574240 247318784 309148480 494637568 618296960 989275136 1236593920 2473187840 4946375680