Search a number
-
+
4763504640 = 21235314161
BaseRepresentation
bin1000110111110110…
…10101000000000000
3110021222101002220210
410123323111000000
534223424122030
62104402234120
7226021056426
oct43373250000
913258332823
104763504640
1120249685a4
12b0b355940
135abb66ccb
143328dd116
151cd2ddbb0
hex11bed5000

4763504640 has 416 divisors, whose sum is σ = 16380951552. Its totient is φ = 1179648000.

The previous prime is 4763504623. The next prime is 4763504651. The reversal of 4763504640 is 464053674.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 78090210 + ... + 78090270.

Almost surely, 24763504640 is an apocalyptic number.

4763504640 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 4763504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8190475776).

4763504640 is an abundant number, since it is smaller than the sum of its proper divisors (11617446912).

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

4763504640 is a wasteful number, since it uses less digits than its factorization.

4763504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 4763504640 is about 69018.1471788399. The cubic root of 4763504640 is about 1682.5792580638.

The spelling of 4763504640 in words is "four billion, seven hundred sixty-three million, five hundred four thousand, six hundred forty".