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4946641920 = 210335113253
BaseRepresentation
bin1001001101101011…
…11100010000000000
3110202201222110001000
410212311330100000
540112320020140
62134503412000
7233403522363
oct44665742000
913681873030
104946641920
112109283320
12b60754000
1360aa98b6c
1434cd720da
151de416a30
hex126d7c400

4946641920 has 352 divisors, whose sum is σ = 19183501440. Its totient is φ = 1198817280.

The previous prime is 4946641919. The next prime is 4946641937. The reversal of 4946641920 is 291466494.

It is a tau number, because it is divible by the number of its divisors (352).

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

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 31 ways as a sum of consecutive naturals, for example, 1519014 + ... + 1522266.

Almost surely, 24946641920 is an apocalyptic number.

4946641920 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 4946641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9591750720).

4946641920 is an abundant number, since it is smaller than the sum of its proper divisors (14236859520).

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

4946641920 is a wasteful number, since it uses less digits than its factorization.

4946641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4946641920 is about 70332.3675131159. The cubic root of 4946641920 is about 1703.8714443781.

The spelling of 4946641920 in words is "four billion, nine hundred forty-six million, six hundred forty-one thousand, nine hundred twenty".