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4799536560 = 243257131731139
BaseRepresentation
bin1000111100001001…
…10001110110110000
3110101111011201102100
410132010301312300
534312140132220
62112130420400
7226636246650
oct43604616660
913344151370
104799536560
112043238945
12b1b431700
135b6471680
143375dc360
151d1559d90
hex11e131db0

4799536560 has 960 divisors, whose sum is σ = 21838602240. Its totient is φ = 915701760.

The previous prime is 4799536531. The next prime is 4799536561. The reversal of 4799536560 is 656359974.

4799536560 is a `hidden beast` number, since 4 + 79 + 9 + 5 + 3 + 6 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4799536497 and 4799536506.

It is not an unprimeable number, because it can be changed into a prime (4799536561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34528971 + ... + 34529109.

It is an arithmetic number, because the mean of its divisors is an integer number (22748544).

Almost surely, 24799536560 is an apocalyptic number.

4799536560 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 4799536560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10919301120).

4799536560 is an abundant number, since it is smaller than the sum of its proper divisors (17039065680).

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

4799536560 is a wasteful number, since it uses less digits than its factorization.

4799536560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 4799536560 is about 69278.6876319117. The cubic root of 4799536560 is about 1686.8110399070.

The spelling of 4799536560 in words is "four billion, seven hundred ninety-nine million, five hundred thirty-six thousand, five hundred sixty".