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4275618048 = 28351317311
BaseRepresentation
bin1111111011011000…
…1100000100000000
3102000222022220100000
43332312030010000
532224024234143
61544133200000
7210645103512
oct37666140400
912028286300
104275618048
1118a4525139
129b3a90000
13531a63710
142c7bbbbb2
151a0569bd3
hexfed8c100

4275618048 has 432 divisors, whose sum is σ = 14624378496. Its totient is φ = 1234206720.

The previous prime is 4275618043. The next prime is 4275618073. The reversal of 4275618048 is 8408165724.

4275618048 is a `hidden beast` number, since 4 + 2 + 7 + 561 + 80 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 4275617994 and 4275618012.

It is not an unprimeable number, because it can be changed into a prime (4275618043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13747813 + ... + 13748123.

It is an arithmetic number, because the mean of its divisors is an integer number (33852728).

Almost surely, 24275618048 is an apocalyptic number.

4275618048 is a gapful number since it is divisible by the number (48) 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 4275618048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312189248).

4275618048 is an abundant number, since it is smaller than the sum of its proper divisors (10348760448).

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

4275618048 is a wasteful number, since it uses less digits than its factorization.

4275618048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4275618048 is about 65388.2103134808. The cubic root of 4275618048 is about 1623.0539921426.

The spelling of 4275618048 in words is "four billion, two hundred seventy-five million, six hundred eighteen thousand, forty-eight".