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5197482126288 = 2432532621259829
BaseRepresentation
bin100101110100010001000…
…0100110110101111010000
3200101212121110120120111200
41023220202010312233100
51140123420411020123
615015405035511200
71044335311065354
oct113504204665720
920355543516450
105197482126288
1117242701869a1
126bb3822b8500
132b917486662a
1413d7b92c3464
15902e9ad9143
hex4ba22136bd0

5197482126288 has 120 divisors (see below), whose sum is σ = 14825890446120. Its totient is φ = 1699150402560.

The previous prime is 5197482126209. The next prime is 5197482126301. The reversal of 5197482126288 is 8826212847915.

5197482126288 is a `hidden beast` number, since 5 + 1 + 9 + 7 + 482 + 12 + 62 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2126253916224 + 3071228210064 = 1458168^2 + 1752492^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19873558 + ... + 20133386.

It is an arithmetic number, because the mean of its divisors is an integer number (123549087051).

Almost surely, 25197482126288 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 5197482126288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7412945223060).

5197482126288 is an abundant number, since it is smaller than the sum of its proper divisors (9628408319832).

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

5197482126288 is a wasteful number, since it uses less digits than its factorization.

5197482126288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262517 (or 262508 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 5197482126288 in words is "five trillion, one hundred ninety-seven billion, four hundred eighty-two million, one hundred twenty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 2621 3816 5242 7632 7863 10484 15726 20968 23589 31452 41936 47178 62904 94356 125808 138913 188712 259829 277826 377424 416739 519658 555652 779487 833478 1039316 1111304 1250217 1558974 1666956 2078632 2222608 2338461 2500434 3117948 3333912 4157264 4676922 5000868 6235896 6667824 9353844 10001736 12471792 13770937 18707688 20003472 27541874 37415376 41312811 55083748 82625622 110167496 123938433 165251244 220334992 247876866 330502488 495753732 661004976 681011809 991507464 1362023618 1983014928 2043035427 2724047236 4086070854 5448094472 6129106281 8172141708 10896188944 12258212562 16344283416 24516425124 32688566832 36093625877 49032850248 72187251754 98065700496 108280877631 144374503508 216561755262 288749007016 324842632893 433123510524 577498014032 649685265786 866247021048 1299370531572 1732494042096 2598741063144 5197482126288