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516354636140 = 225773101500237
BaseRepresentation
bin1111000001110010010…
…00100111100101101100
31211100210122100022100222
413200321020213211230
531424443241324030
61033113211510512
752206514663310
oct7407110474554
91740718308328
10516354636140
11189a91804712
12840a6158438
13398cc521475
141adc530bb40
15d67182b3e5
hex783922796c

516354636140 has 96 divisors (see below), whose sum is σ = 1268667598464. Its totient is φ = 172881561600.

The previous prime is 516354636137. The next prime is 516354636151. The reversal of 516354636140 is 41636453615.

It is a super-2 number, since 2×5163546361402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 516354636091 and 516354636100.

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 31 ways as a sum of consecutive naturals, for example, 782102 + ... + 1282338.

It is an arithmetic number, because the mean of its divisors is an integer number (13215287484).

Almost surely, 2516354636140 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 516354636140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634333799232).

516354636140 is an abundant number, since it is smaller than the sum of its proper divisors (752312962324).

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

516354636140 is a wasteful number, since it uses less digits than its factorization.

516354636140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500427 (or 500425 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 516354636140 in words is "five hundred sixteen billion, three hundred fifty-four million, six hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 101 140 146 202 292 365 404 505 511 707 730 1010 1022 1414 1460 2020 2044 2555 2828 3535 5110 7070 7373 10220 14140 14746 29492 36865 51611 73730 103222 147460 206444 258055 500237 516110 1000474 1032220 2000948 2501185 3501659 5002370 7003318 10004740 14006636 17508295 35016590 36517301 50523937 70033180 73034602 101047874 146069204 182586505 202095748 252619685 255621107 353667559 365173010 505239370 511242214 707335118 730346020 1010478740 1022484428 1278105535 1414670236 1768337795 2556211070 3536675590 3688247401 5112422140 7073351180 7376494802 14752989604 18441237005 25817731807 36882474010 51635463614 73764948020 103270927228 129088659035 258177318070 516354636140