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4838064001 = 41337487719
BaseRepresentation
bin1001000000101111…
…01111111110000001
3110111011200010010121
410200113233332001
534402021022001
62120024300241
7230614602601
oct44027577601
913434603117
104838064001
112062a63101
12b30311681
135c1440b84
1433c78ac01
151d4b1a6a1
hex1205eff81

4838064001 has 16 divisors (see below), whose sum is σ = 4987906560. Its totient is φ = 4689861120.

The previous prime is 4838063999. The next prime is 4838064029. The reversal of 4838064001 is 1004608384.

It is a cyclic number.

It is not a de Polignac number, because 4838064001 - 21 = 4838063999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4838064041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6728520 + ... + 6729238.

It is an arithmetic number, because the mean of its divisors is an integer number (311744160).

Almost surely, 24838064001 is an apocalyptic number.

4838064001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4838064001 is a deficient number, since it is larger than the sum of its proper divisors (149842559).

4838064001 is a wasteful number, since it uses less digits than its factorization.

4838064001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584.

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 4838064001 is about 69556.1931175075. The cubic root of 4838064001 is about 1691.3125432462.

The spelling of 4838064001 in words is "four billion, eight hundred thirty-eight million, sixty-four thousand, one".

Divisors: 1 41 337 487 719 13817 19967 29479 164119 242303 350153 6728879 9934423 14356273 118001561 4838064001