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4696473960 = 23345192331107
BaseRepresentation
bin1000101111110111…
…01000000101101000
3110010022020121010000
410113323220011220
534104244131320
62054005423000
7224245240623
oct42773500550
913108217100
104696473960
111aa0045442
12ab0a0aa60
1359acc7b99
14327a50dba
151c749cc90
hex117ee8168

4696473960 has 640 divisors, whose sum is σ = 18065203200. Its totient is φ = 1088017920.

The previous prime is 4696473913. The next prime is 4696473967. The reversal of 4696473960 is 693746964.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4696473897 and 4696473906.

It is not an unprimeable number, because it can be changed into a prime (4696473967) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43892227 + ... + 43892333.

It is an arithmetic number, because the mean of its divisors is an integer number (28226880).

Almost surely, 24696473960 is an apocalyptic number.

4696473960 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 4696473960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9032601600).

4696473960 is an abundant number, since it is smaller than the sum of its proper divisors (13368729240).

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

4696473960 is a wasteful number, since it uses less digits than its factorization.

4696473960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The square root of 4696473960 is about 68530.8248892424. The cubic root of 4696473960 is about 1674.6496880829.

The spelling of 4696473960 in words is "four billion, six hundred ninety-six million, four hundred seventy-three thousand, nine hundred sixty".