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4690938560 = 265721127197
BaseRepresentation
bin1000101111001101…
…00000101011000000
3110002220211100222012
410113212200223000
534101340013220
62053251032052
7224150214500
oct42746405300
913086740865
104690938560
111a97a04630
12aaab9b628
13599b0a4b9
1432700da00
151c6c57ac5
hex1179a0ac0

4690938560 has 168 divisors, whose sum is σ = 14175815184. Its totient is φ = 1462056960.

The previous prime is 4690938559. The next prime is 4690938589. The reversal of 4690938560 is 658390964.

It is a junction number, because it is equal to n+sod(n) for n = 4690938499 and 4690938508.

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 23 ways as a sum of consecutive naturals, for example, 158882 + ... + 186078.

Almost surely, 24690938560 is an apocalyptic number.

4690938560 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 4690938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7087907592).

4690938560 is an abundant number, since it is smaller than the sum of its proper divisors (9484876624).

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

4690938560 is a wasteful number, since it uses less digits than its factorization.

4690938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27239 (or 27222 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 50.

The square root of 4690938560 is about 68490.4267763021. The cubic root of 4690938560 is about 1673.9914992476.

The spelling of 4690938560 in words is "four billion, six hundred ninety million, nine hundred thirty-eight thousand, five hundred sixty".