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516804204840 = 233571155931191
BaseRepresentation
bin1111000010100111110…
…11100101100100101000
31211101221222021202200120
413201103323211210220
531431403334023330
61033225551403240
752223614155240
oct7412373454450
91741858252616
10516804204840
1118a1a25562a0
12841b0823520
13399716c9a51
141b028cd6b20
15d69b031c10
hex7853ee5928

516804204840 has 128 divisors (see below), whose sum is σ = 1932981995520. Its totient is φ = 107387884800.

The previous prime is 516804204803. The next prime is 516804204859. The reversal of 516804204840 is 48402408615.

It is a super-2 number, since 2×5168042048402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 516804204792 and 516804204801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27956356 + ... + 27974835.

It is an arithmetic number, because the mean of its divisors is an integer number (15101421840).

Almost surely, 2516804204840 is an apocalyptic number.

It is an amenable number.

516804204840 is an abundant number, since it is smaller than the sum of its proper divisors (1416177790680).

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

516804204840 is a wasteful number, since it uses less digits than its factorization.

516804204840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55931223 (or 55931219 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 516804204840 in words is "five hundred sixteen billion, eight hundred four million, two hundred four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 55931191 111862382 167793573 223724764 279655955 335587146 391518337 447449528 559311910 615243101 671174292 783036674 838967865 1118623820 1174555011 1230486202 1342348584 1566073348 1677935730 1845729303 1957591685 2237247640 2349110022 2460972404 3076215505 3132146696 3355871460 3691458606 3915183370 4306701707 4698220044 4921944808 5872775055 6152431010 6711742920 7382917212 7830366740 8613403414 9228646515 9396440088 11745550110 12304862020 12920105121 14765834424 15660733480 17226806828 18457293030 21533508535 23491100220 24609724040 25840210242 34453613656 36914586060 43067017070 46982200440 51680420484 64600525605 73829172120 86134034140 103360840968 129201051210 172268068280 258402102420 516804204840