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4784640000 = 212354789
BaseRepresentation
bin1000111010010111…
…11101000000000000
3110100110010220011220
410131023331000000
534244331440000
62110435235040
7226365524520
oct43513750000
913313126156
104784640000
112035893938
12b16448a80
135b335713a
14335641680
151d00b61a0
hex11d2fd000

4784640000 has 520 divisors, whose sum is σ = 18423852480. Its totient is φ = 1081344000.

The previous prime is 4784639999. The next prime is 4784640019. The reversal of 4784640000 is 464874.

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 39 ways as a sum of consecutive naturals, for example, 53759956 + ... + 53760044.

Almost surely, 24784640000 is an apocalyptic number.

4784640000 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 4784640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9211926240).

4784640000 is an abundant number, since it is smaller than the sum of its proper divisors (13639212480).

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

4784640000 is an frugal number, since it uses more digits than its factorization.

4784640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 4784640000 is about 69171.0922278953. The cubic root of 4784640000 is about 1685.0640848870.

The spelling of 4784640000 in words is "four billion, seven hundred eighty-four million, six hundred forty thousand".