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216815682828680 = 235131433478960757
BaseRepresentation
bin110001010011000101010101…
…110000011011100110001000
31001102200101011201112211211022
4301103011111300123212020
5211404302004301004210
62045043425531252012
763445262512101035
oct6123052560334610
91042611151484738
10216815682828680
11630a2018646851
12203983b95aa008
1393c9828879230
143b77d13a7638c
151a0ed17ea1155
hexc53155c1b988

216815682828680 has 128 divisors (see below), whose sum is σ = 525846126808800. Its totient is φ = 79981134815232.

The previous prime is 216815682828677. The next prime is 216815682828799. The reversal of 216815682828680 is 86828286518612.

It can be written as a sum of positive squares in 16 ways, for example, as 1491578575204 + 215324104253476 = 1221302^2 + 14673926^2 .

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, 3568540862 + ... + 3568601618.

Almost surely, 2216815682828680 is an apocalyptic number.

216815682828680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216815682828680 is an abundant number, since it is smaller than the sum of its proper divisors (309030443980120).

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

216815682828680 is a wasteful number, since it uses less digits than its factorization.

216815682828680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67003 (or 66999 counting only the distinct ones).

The product of its (nonzero) digits is 283115520, while the sum is 71.

The spelling of 216815682828680 in words is "two hundred sixteen trillion, eight hundred fifteen billion, six hundred eighty-two million, eight hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1433 2866 4789 5732 7165 9578 11464 14330 18629 19156 23945 28660 37258 38312 47890 57320 60757 62257 74516 93145 95780 121514 124514 149032 186290 191560 243028 249028 303785 311285 372580 486056 498056 607570 622570 745160 789841 1215140 1245140 1579682 2430280 2490280 3159364 3949205 6318728 6862637 7898410 13725274 15796820 27450548 31593640 34313185 54901096 68626370 87064781 89214281 137252740 174129562 178428562 274505480 290965273 348259124 356857124 435323905 446071405 581930546 696518248 713714248 870647810 892142810 1131842153 1163861092 1454826365 1741295620 1784285620 2263684306 2327722184 2909652730 3482591240 3568571240 3782548549 4527368612 5659210765 5819305460 7565097098 9054737224 11318421530 11638610920 15130194196 18912742745 22636843060 30260388392 37825485490 45273686120 75650970980 151301941960 416953236209 833906472418 1667812944836 2084766181045 3335625889672 4169532362090 5420392070717 8339064724180 10840784141434 16678129448360 21681568282868 27101960353585 43363136565736 54203920707170 108407841414340 216815682828680