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4766065920 = 28355711199
BaseRepresentation
bin1000111000001010…
…00110010100000000
3110022011012020100000
410130011012110000
534230103102140
62104533200000
7226051614630
oct43405062400
913264166300
104766065920
112026357960
12b10190000
135ac552a65
14332da86c0
151cd647a30
hex11c146500

4766065920 has 864 divisors, whose sum is σ = 21427660800. Its totient is φ = 985374720.

The previous prime is 4766065907. The next prime is 4766065943. The reversal of 4766065920 is 295606674.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23949981 + ... + 23950179.

Almost surely, 24766065920 is an apocalyptic number.

4766065920 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 4766065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713830400).

4766065920 is an abundant number, since it is smaller than the sum of its proper divisors (16661594880).

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

4766065920 is a wasteful number, since it uses less digits than its factorization.

4766065920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4766065920 is about 69036.6998052485. The cubic root of 4766065920 is about 1682.8807716733.

The spelling of 4766065920 in words is "four billion, seven hundred sixty-six million, sixty-five thousand, nine hundred twenty".