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537680854116 = 22357263330013
BaseRepresentation
bin1111101001100000100…
…01101011110001100100
31220101211220101102200000
413310300101223301210
532302132244312431
61051001314421300
753563142565030
oct7646021536144
91811756342600
10537680854116
1119803590894a
1288258291830
133b91a8b3763
141c0497bb1c0
15debdc159e6
hex7d3046bc64

537680854116 has 144 divisors (see below), whose sum is σ = 1611495360384. Its totient is φ = 153559639296.

The previous prime is 537680854043. The next prime is 537680854121. The reversal of 537680854116 is 611458086735.

It is a happy number.

537680854116 is a `hidden beast` number, since 5 + 3 + 7 + 6 + 80 + 8 + 541 + 16 = 666.

It is a super-2 number, since 2×5376808541162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 17899926 + ... + 17929938.

Almost surely, 2537680854116 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 537680854116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805747680192).

537680854116 is an abundant number, since it is smaller than the sum of its proper divisors (1073814506268).

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

537680854116 is a wasteful number, since it uses less digits than its factorization.

537680854116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32672 (or 32658 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 537680854116 in words is "five hundred thirty-seven billion, six hundred eighty million, eight hundred fifty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 2633 3402 5266 6804 7899 10532 15798 18431 23697 30013 31596 36862 47394 55293 60026 71091 73724 90039 94788 110586 120052 142182 165879 180078 210091 213273 221172 270117 284364 331758 360156 420182 426546 497637 540234 630273 639819 663516 810351 840364 853092 995274 1080468 1260546 1279638 1492911 1620702 1890819 1990548 2431053 2521092 2559276 2985822 3241404 3781638 4478733 4862106 5672457 5971644 7293159 7563276 8957466 9724212 11344914 14586318 17017371 17914932 22689828 29172636 34034742 51052113 68069484 79024229 102104226 158048458 204208452 237072687 316096916 474145374 553169603 711218061 948290748 1106339206 1422436122 1659508809 2133654183 2212678412 2844872244 3319017618 4267308366 4978526427 6400962549 6638035236 8534616732 9957052854 12801925098 14935579281 19202887647 19914105708 25603850196 29871158562 38405775294 44806737843 59742317124 76811550588 89613475686 134420213529 179226951372 268840427058 537680854116