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5102686368 = 253413151433
BaseRepresentation
bin1001100000010010…
…01101000010100000
3111011121121022210000
410300021031002200
540422241430433
62202200140000
7240310055433
oct46011150240
914147538700
105102686368
11218937387a
12ba4a67600
13634203060
1436599181a
151ece8c113
hex13024d0a0

5102686368 has 120 divisors (see below), whose sum is σ = 16161339348. Its totient is φ = 1570046976.

The previous prime is 5102686343. The next prime is 5102686439. The reversal of 5102686368 is 8636862015.

5102686368 is a `hidden beast` number, since 5 + 1 + 0 + 2 + 6 + 8 + 636 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4498116624 + 604569744 = 67068^2 + 24588^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42021 + ... + 109412.

Almost surely, 25102686368 is an apocalyptic number.

It is an amenable number.

5102686368 is an abundant number, since it is smaller than the sum of its proper divisors (11058652980).

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

5102686368 is a wasteful number, since it uses less digits than its factorization.

5102686368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151468 (or 151451 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5102686368 is about 71433.0901473540. The cubic root of 5102686368 is about 1721.6027929652.

It can be divided in two parts, 510268 and 6368, that added together give a triangular number (516636 = T1016).

The spelling of 5102686368 in words is "five billion, one hundred two million, six hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 151433 302866 454299 605732 908598 1211464 1362897 1817196 1968629 2422928 2725794 3634392 3937258 4088691 4845856 5451588 5905887 7268784 7874516 8177382 10903176 11811774 12266073 14537568 15749032 16354764 17717661 21806352 23623548 24532146 31498064 32709528 35435322 43612704 47247096 49064292 53152983 62996128 65419056 70870644 94494192 98128584 106305966 130838112 141741288 159458949 188988384 196257168 212611932 283482576 318917898 392514336 425223864 566965152 637835796 850447728 1275671592 1700895456 2551343184 5102686368