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4842099405 = 355111329312
BaseRepresentation
bin1001000001001110…
…01001001011001101
3110111110021010200000
410200213021023031
534404034140110
62120250554513
7230664110613
oct44047111315
913443233600
104842099405
112065269a50
12b31738a39
135c22248a0
1433d11b6b3
151d51661c0
hex1209c92cd

4842099405 has 288 divisors, whose sum is σ = 10930308480. Its totient is φ = 2024870400.

The previous prime is 4842099391. The next prime is 4842099407. The reversal of 4842099405 is 5049902484.

It is not a de Polignac number, because 4842099405 - 24 = 4842099389 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4842099407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 156196740 + ... + 156196770.

It is an arithmetic number, because the mean of its divisors is an integer number (37952460).

Almost surely, 24842099405 is an apocalyptic number.

4842099405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4842099405 is an abundant number, since it is smaller than the sum of its proper divisors (6088209075).

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

4842099405 is a wasteful number, since it uses less digits than its factorization.

4842099405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4842099405 is about 69585.1953004373. The cubic root of 4842099405 is about 1691.7826508951.

The spelling of 4842099405 in words is "four billion, eight hundred forty-two million, ninety-nine thousand, four hundred five".