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516240513620 = 2251343241191599
BaseRepresentation
bin1111000001100100101…
…01010001101001010100
31211100111200121021200222
413200302111101221110
531424230032413440
61033054013453512
752203630651506
oct7406225215124
91740450537628
10516240513620
11189a33347787
1284073aa1298
13398b19a4850
141adb40c1d76
15d6667d72b5
hex7832551a54

516240513620 has 96 divisors (see below), whose sum is σ = 1199612198400. Its totient is φ = 185405552640.

The previous prime is 516240513617. The next prime is 516240513653. The reversal of 516240513620 is 26315042615.

It is a congruent number.

It is an unprimeable number.

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, 2598581 + ... + 2790179.

It is an arithmetic number, because the mean of its divisors is an integer number (12495960400).

Almost surely, 2516240513620 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 516240513620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599806099200).

516240513620 is an abundant number, since it is smaller than the sum of its proper divisors (683371684780).

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

516240513620 is a wasteful number, since it uses less digits than its factorization.

516240513620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191905 (or 191903 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 516240513620 in words is "five hundred sixteen billion, two hundred forty million, five hundred thirteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 241 260 430 482 559 860 964 1118 1205 2236 2410 2795 3133 4820 5590 6266 10363 11180 12532 15665 20726 31330 41452 51815 62660 103630 134719 191599 207260 269438 383198 538876 673595 766396 957995 1347190 1915990 2490787 2694380 3831980 4981574 8238757 9963148 12453935 16477514 24907870 32955028 41193785 46175359 49815740 82387570 92350718 107103841 164775140 184701436 214207682 230876795 428415364 461753590 535519205 600279667 923507180 1071038410 1200559334 1985540437 2142076820 2401118668 3001398335 3971080874 6002796670 7942161748 9927702185 12005593340 19855404370 25812025681 39710808740 51624051362 103248102724 129060128405 258120256810 516240513620