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5431991824 = 24728977849
BaseRepresentation
bin1010000111100010…
…11001111000010000
3112000120020202221101
411003301121320100
542111042214244
62255002234144
7251416111600
oct50361317020
915016222841
105431991824
112338243946
1210771b5954
136874c195c
143975d2c00
1521bd390d4
hex143c59e10

5431991824 has 60 divisors (see below), whose sum is σ = 12380485500. Its totient is φ = 2301809664.

The previous prime is 5431991809. The next prime is 5431991843. The reversal of 5431991824 is 4281991345.

It can be written as a sum of positive squares in 2 ways, for example, as 916151824 + 4515840000 = 30268^2 + 67200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30852 + ... + 108700.

It is an arithmetic number, because the mean of its divisors is an integer number (206341425).

Almost surely, 25431991824 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 5431991824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190242750).

5431991824 is an abundant number, since it is smaller than the sum of its proper divisors (6948493676).

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

5431991824 is a wasteful number, since it uses less digits than its factorization.

5431991824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77960 (or 77947 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The square root of 5431991824 is about 73702.0476242011. The cubic root of 5431991824 is about 1757.8684404875.

The spelling of 5431991824 in words is "five billion, four hundred thirty-one million, nine hundred ninety-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 89 98 112 178 196 356 392 623 712 784 1246 1424 2492 4361 4984 8722 9968 17444 34888 69776 77849 155698 311396 544943 622792 1089886 1245584 2179772 3814601 4359544 6928561 7629202 8719088 13857122 15258404 27714244 30516808 48499927 55428488 61033616 96999854 110856976 193999708 339499489 387999416 678998978 775998832 1357997956 2715995912 5431991824