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5054535642 = 23131714925583
BaseRepresentation
bin1001011010100011…
…00001011111011010
3111001021000000101210
410231101201133122
540322430120032
62153320123550
7236153562342
oct45521413732
914037000353
105054535642
112164176492
12b909065b6
136272445c0
1435d419d22
151e8b2a2cc
hex12d4617da

5054535642 has 64 divisors (see below), whose sum is σ = 11604902400. Its totient is φ = 1453876224.

The previous prime is 5054535601. The next prime is 5054535649. The reversal of 5054535642 is 2465354505.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 5054535642.

It is not an unprimeable number, because it can be changed into a prime (5054535649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184783 + ... + 210365.

It is an arithmetic number, because the mean of its divisors is an integer number (181326600).

Almost surely, 25054535642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5054535642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5802451200).

5054535642 is an abundant number, since it is smaller than the sum of its proper divisors (6550366758).

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

5054535642 is a wasteful number, since it uses less digits than its factorization.

5054535642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25767.

The product of its (nonzero) digits is 360000, while the sum is 39.

The square root of 5054535642 is about 71095.2575211596. The cubic root of 5054535642 is about 1716.1704552722.

The spelling of 5054535642 in words is "five billion, fifty-four million, five hundred thirty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 149 221 298 442 447 663 894 1326 1937 2533 3874 5066 5811 7599 11622 15198 25583 32929 51166 65858 76749 98787 153498 197574 332579 434911 665158 869822 997737 1304733 1995474 2609466 3811867 5653843 7623734 11307686 11435601 16961529 22871202 33923058 49554271 64801739 99108542 129603478 148662813 194405217 297325626 388810434 842422607 1684845214 2527267821 5054535642