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4371216640 = 28574173163
BaseRepresentation
bin1000001001000101…
…10111100100000000
3102021122012210221121
410010202313210000
532423012413030
62001430202024
7213215504560
oct40442674400
912248183847
104371216640
11194348a83a
12a1bab3314
135487c5a2b
142d6784da0
151a8b5047a
hex1048b7900

4371216640 has 288 divisors, whose sum is σ = 12502215936. Its totient is φ = 1433272320.

The previous prime is 4371216637. The next prime is 4371216653. The reversal of 4371216640 is 466121734.

It is a junction number, because it is equal to n+sod(n) for n = 4371216596 and 4371216605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26817199 + ... + 26817361.

It is an arithmetic number, because the mean of its divisors is an integer number (43410472).

Almost surely, 24371216640 is an apocalyptic number.

4371216640 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 4371216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6251107968).

4371216640 is an abundant number, since it is smaller than the sum of its proper divisors (8130999296).

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

4371216640 is a wasteful number, since it uses less digits than its factorization.

4371216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 4371216640 is about 66115.1770775818. The cubic root of 4371216640 is about 1635.0615668849.

The spelling of 4371216640 in words is "four billion, three hundred seventy-one million, two hundred sixteen thousand, six hundred forty".