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4943371680 = 253451323761
BaseRepresentation
bin1001001101010010…
…11101110110100000
3110202111211022010000
410212221131312200
540111000343210
62134305340000
7233333652222
oct44651356640
913674738100
104943371680
11210744a345
12b5b637600
1360a1c2500
1434c760412
151ddebcac0
hex126a5dda0

4943371680 has 720 divisors, whose sum is σ = 19719847224. Its totient is φ = 1164533760.

The previous prime is 4943371661. The next prime is 4943371709. The reversal of 4943371680 is 861733494.

4943371680 is a `hidden beast` number, since 494 + 33 + 71 + 68 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 100881936 + 4842489744 = 10044^2 + 69588^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 81038850 + ... + 81038910.

Almost surely, 24943371680 is an apocalyptic number.

4943371680 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 4943371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9859923612).

4943371680 is an abundant number, since it is smaller than the sum of its proper divisors (14776475544).

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

4943371680 is a wasteful number, since it uses less digits than its factorization.

4943371680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4943371680 is about 70309.1151985288. The cubic root of 4943371680 is about 1703.4958834085.

The spelling of 4943371680 in words is "four billion, nine hundred forty-three million, three hundred seventy-one thousand, six hundred eighty".