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4812889536 = 2633713127241
BaseRepresentation
bin1000111101101111…
…01101110111000000
3110102102022010021000
410132313231313000
534324044431121
62113324532000
7230160612630
oct43667556700
913372263230
104812889536
11204a829164
12b239b1000
135b9168440
143392b66c0
151d27e6526
hex11ededdc0

4812889536 has 448 divisors, whose sum is σ = 17624104960. Its totient is φ = 1254113280.

The previous prime is 4812889517. The next prime is 4812889537. The reversal of 4812889536 is 6359882184.

4812889536 is a `hidden beast` number, since 4 + 8 + 1 + 28 + 89 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4812889537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19970376 + ... + 19970616.

It is an arithmetic number, because the mean of its divisors is an integer number (39339520).

Almost surely, 24812889536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4812889536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812052480).

4812889536 is an abundant number, since it is smaller than the sum of its proper divisors (12811215424).

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

4812889536 is a wasteful number, since it uses less digits than its factorization.

4812889536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 393 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 4812889536 is about 69374.9921513509. The cubic root of 4812889536 is about 1688.3739054760.

The spelling of 4812889536 in words is "four billion, eight hundred twelve million, eight hundred eighty-nine thousand, five hundred thirty-six".