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5116452660 = 22325113183357
BaseRepresentation
bin1001100001111011…
…01101111100110100
3111012120111201120200
410300331231330310
540434302441120
62203411200500
7240535062414
oct46075557464
914176451520
105116452660
112196116680
12ba95a6130
13637012ca7
14367736644
151ee2aae90
hex130f6df34

5116452660 has 144 divisors (see below), whose sum is σ = 17477171712. Its totient is φ = 1200326400.

The previous prime is 5116452659. The next prime is 5116452661. The reversal of 5116452660 is 662546115.

5116452660 is a `hidden beast` number, since 5 + 1 + 1 + 645 + 2 + 6 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5116452659) and next prime (5116452661).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5116452661) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19702 + ... + 103058.

It is an arithmetic number, because the mean of its divisors is an integer number (121369248).

Almost surely, 25116452660 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 5116452660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8738585856).

5116452660 is an abundant number, since it is smaller than the sum of its proper divisors (12360719052).

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

5116452660 is a wasteful number, since it uses less digits than its factorization.

5116452660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83414 (or 83409 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5116452660 is about 71529.3831932025. The cubic root of 5116452660 is about 1723.1496125440.

Adding to 5116452660 its reverse (662546115), we get a palindrome (5778998775).

The spelling of 5116452660 in words is "five billion, one hundred sixteen million, four hundred fifty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 930 990 1023 1116 1364 1395 1705 1860 1980 2046 2790 3069 3410 4092 5115 5580 6138 6820 10230 12276 15345 20460 30690 61380 83357 166714 250071 333428 416785 500142 750213 833570 916927 1000284 1250355 1500426 1667140 1833854 2500710 2584067 2750781 3000852 3667708 3751065 4584635 5001420 5168134 5501562 7502130 7752201 8252343 9169270 10336268 11003124 12920335 13753905 15004260 15504402 16504686 18338540 23256603 25840670 27507810 28424737 31008804 33009372 38761005 41261715 46513206 51681340 55015620 56849474 77522010 82523430 85274211 93026412 113698948 116283015 142123685 155044020 165046860 170548422 232566030 255822633 284247370 341096844 426371055 465132060 511645266 568494740 852742110 1023290532 1279113165 1705484220 2558226330 5116452660