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4866096384 = 28351923179
BaseRepresentation
bin1001000100000101…
…01011110100000000
3110120010102022100000
410202002223310000
534431210041014
62122505200000
7231405064632
oct44202536400
913503368300
104866096384
11207786a266
12b39790000
135c71a7396
143423a6a52
151d7306509
hex1220abd00

4866096384 has 432 divisors, whose sum is σ = 16070745600. Its totient is φ = 1461639168.

The previous prime is 4866096379. The next prime is 4866096397. The reversal of 4866096384 is 4836906684.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 4866096384.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 27184807 + ... + 27184985.

It is an arithmetic number, because the mean of its divisors is an integer number (37200800).

Almost surely, 24866096384 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 4866096384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035372800).

4866096384 is an abundant number, since it is smaller than the sum of its proper divisors (11204649216).

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

4866096384 is a wasteful number, since it uses less digits than its factorization.

4866096384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 4866096384 is about 69757.4109611301. The cubic root of 4866096384 is about 1694.5728174012.

It can be divided in two parts, 486 and 6096384, that multiplied together give a square (2962842624 = 544322).

The spelling of 4866096384 in words is "four billion, eight hundred sixty-six million, ninety-six thousand, three hundred eighty-four".