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5438942964 = 2234721319273
BaseRepresentation
bin1010001000010111…
…11010111011110100
3112001001022221010000
411010023322323310
542114332133324
62255411231300
7251532152400
oct50413727364
915031287100
105438942964
112341161394
1210795a8530
13688a86860
143984c2100
1521c75d9c9
hex1442faef4

5438942964 has 540 divisors, whose sum is σ = 19056493764. Its totient is φ = 1340333568.

The previous prime is 5438942933. The next prime is 5438943023. The reversal of 5438942964 is 4692498345.

5438942964 is a `hidden beast` number, since 543 + 8 + 9 + 4 + 2 + 96 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1856920464 + 3582022500 = 43092^2 + 59850^2 .

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 5438942964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 74506032 + ... + 74506104.

Almost surely, 25438942964 is an apocalyptic number.

5438942964 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5438942964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9528246882).

5438942964 is an abundant number, since it is smaller than the sum of its proper divisors (13617550800).

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

5438942964 is a wasteful number, since it uses less digits than its factorization.

5438942964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 117 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 5438942964 is about 73749.1895819880. The cubic root of 5438942964 is about 1758.6179495421.

The spelling of 5438942964 in words is "five billion, four hundred thirty-eight million, nine hundred forty-two thousand, nine hundred sixty-four".