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4364806848 = 2631743137227
BaseRepresentation
bin1000001000010100…
…11010101011000000
3102021012011011100220
410010022122223000
532414342304343
62001040543040
7213110150253
oct40412325300
912235134326
104364806848
11193a901a96
12a19921a80
1354739035c
142d599709a
151a82d6183
hex10429aac0

4364806848 has 224 divisors, whose sum is σ = 12659099904. Its totient is φ = 1321893888.

The previous prime is 4364806847. The next prime is 4364806877. The reversal of 4364806848 is 8486084634.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 4364806848.

It is not an unprimeable number, because it can be changed into a prime (4364806841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19228111 + ... + 19228337.

Almost surely, 24364806848 is an apocalyptic number.

4364806848 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 4364806848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6329549952).

4364806848 is an abundant number, since it is smaller than the sum of its proper divisors (8294293056).

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

4364806848 is a wasteful number, since it uses less digits than its factorization.

4364806848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 51.

The square root of 4364806848 is about 66066.6848570442. The cubic root of 4364806848 is about 1634.2619777937.

The spelling of 4364806848 in words is "four billion, three hundred sixty-four million, eight hundred six thousand, eight hundred forty-eight".