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4865948640 = 25355719941
BaseRepresentation
bin1001000100000100…
…00111101111100000
3110120010010210200000
410202002013233200
534431140324030
62122502100000
7231403611120
oct44202075740
913503123600
104865948640
112077779263
12b3971a600
135c7155067
14342368c80
151d72c7860
hex122087be0

4865948640 has 576 divisors, whose sum is σ = 20737866240. Its totient is φ = 1052559360.

The previous prime is 4865948627. The next prime is 4865948653. The reversal of 4865948640 is 468495684.

4865948640 is a `hidden beast` number, since 4 + 8 + 6 + 594 + 8 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4865948627) and next prime (4865948653).

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

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 95 ways as a sum of consecutive naturals, for example, 5170570 + ... + 5171510.

It is an arithmetic number, because the mean of its divisors is an integer number (36003240).

Almost surely, 24865948640 is an apocalyptic number.

4865948640 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 4865948640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10368933120).

4865948640 is an abundant number, since it is smaller than the sum of its proper divisors (15871917600).

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

4865948640 is a wasteful number, since it uses less digits than its factorization.

4865948640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 4865948640 is about 69756.3519688351. The cubic root of 4865948640 is about 1694.5556670695. Note that the first 3 decimals are identical.

The spelling of 4865948640 in words is "four billion, eight hundred sixty-five million, nine hundred forty-eight thousand, six hundred forty".