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4563950880 = 253583971181
BaseRepresentation
bin1000100000000100…
…00101110100100000
3102210001212201121210
410100002011310200
533321332412010
62032513150120
7221045641146
oct42002056440
912701781553
104563950880
111a3225a935
12a7455b340
13579707b68
143141d5596
151baa21b20
hex110085d20

4563950880 has 192 divisors, whose sum is σ = 14712098688. Its totient is φ = 1188986880.

The previous prime is 4563950869. The next prime is 4563950903. The reversal of 4563950880 is 880593654.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3863890 + ... + 3865070.

It is an arithmetic number, because the mean of its divisors is an integer number (76625514).

Almost surely, 24563950880 is an apocalyptic number.

4563950880 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 4563950880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7356049344).

4563950880 is an abundant number, since it is smaller than the sum of its proper divisors (10148147808).

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

4563950880 is a wasteful number, since it uses less digits than its factorization.

4563950880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 4563950880 is about 67557.0194724427. The cubic root of 4563950880 is about 1658.7476498073.

The spelling of 4563950880 in words is "four billion, five hundred sixty-three million, nine hundred fifty thousand, eight hundred eighty".