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4694209920 = 273251959727
BaseRepresentation
bin1000101111100101…
…11111010110000000
3110010010222120102200
410113302333112000
534103204204140
62053445113200
7224220061131
oct42762772600
913103876380
104694209920
111a99839434
12ab00b8800
1359a6b450a
14327621c88
151c71a2030
hex117cbf580

4694209920 has 384 divisors, whose sum is σ = 17375904000. Its totient is φ = 1164201984.

The previous prime is 4694209913. The next prime is 4694209931. The reversal of 4694209920 is 299024964.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6456597 + ... + 6457323.

It is an arithmetic number, because the mean of its divisors is an integer number (45249750).

Almost surely, 24694209920 is an apocalyptic number.

4694209920 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 4694209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8687952000).

4694209920 is an abundant number, since it is smaller than the sum of its proper divisors (12681694080).

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

4694209920 is a wasteful number, since it uses less digits than its factorization.

4694209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 4694209920 is about 68514.3044918359. The cubic root of 4694209920 is about 1674.3805440875.

The spelling of 4694209920 in words is "four billion, six hundred ninety-four million, two hundred nine thousand, nine hundred twenty".