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4923887616 = 212361797
BaseRepresentation
bin1001001010111110…
…01001000000000000
3110201011011102000000
410211133021000000
540041003400431
62132332000000
7233006232324
oct44537110000
913634142000
104923887616
1120a745170a
12b55000000
1360615cb8b
14349d2b984
151dc41e9e6
hex1257c9000

4923887616 has 364 divisors, whose sum is σ = 15792673932. Its totient is φ = 1528823808.

The previous prime is 4923887611. The next prime is 4923887621. The reversal of 4923887616 is 6167883294.

4923887616 is a `hidden beast` number, since 492 + 3 + 88 + 76 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4923887611) and next prime (4923887621).

It can be written as a sum of positive squares in 2 ways, for example, as 3057647616 + 1866240000 = 55296^2 + 43200^2 .

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4923887611) 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 27 ways as a sum of consecutive naturals, for example, 50761680 + ... + 50761776.

Almost surely, 24923887616 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 4923887616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7896336966).

4923887616 is an abundant number, since it is smaller than the sum of its proper divisors (10868786316).

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

4923887616 is an frugal number, since it uses more digits than its factorization.

4923887616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 4923887616 is about 70170.4183826775. The cubic root of 4923887616 is about 1701.2548538947.

The spelling of 4923887616 in words is "four billion, nine hundred twenty-three million, eight hundred eighty-seven thousand, six hundred sixteen".