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213488889565080 = 233519337853243521
BaseRepresentation
bin110000100010101011000001…
…011011010000111110011000
31000222220100010210002201121210
4300202223001123100332120
5210440300221212040310
62034015235242103120
762653030462660203
oct6042530133207630
91028810123081553
10213488889565080
116202a147574318
121bb3b6b11aaaa0
139217bba3123cc
143aa0cbb45293a
1519a3508c53820
hexc22ac16d0f98

213488889565080 has 128 divisors (see below), whose sum is σ = 643804800073920. Its totient is φ = 56633665781760.

The previous prime is 213488889565057. The next prime is 213488889565111. The reversal of 213488889565080 is 80565988884312.

It is a Cunningham number, because it is equal to 146112592-1.

It is a super-2 number, since 2×2134888895650802 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213488889564993 and 213488889565011.

It is a congruent number.

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, 876553720 + ... + 876797240.

Almost surely, 2213488889565080 is an apocalyptic number.

213488889565080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213488889565080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321902400036960).

213488889565080 is an abundant number, since it is smaller than the sum of its proper divisors (430315910508840).

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

213488889565080 is a wasteful number, since it uses less digits than its factorization.

213488889565080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281581 (or 281577 counting only the distinct ones).

The product of its (nonzero) digits is 1061683200, while the sum is 75.

The spelling of 213488889565080 in words is "two hundred thirteen trillion, four hundred eighty-eight billion, eight hundred eighty-nine million, five hundred sixty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 193 386 579 772 965 1158 1544 1930 2316 2895 3860 4632 5790 7720 11580 23160 37853 75706 113559 151412 189265 227118 243521 302824 378530 454236 487042 567795 730563 757060 908472 974084 1135590 1217605 1461126 1514120 1948168 2271180 2435210 2922252 3652815 4542360 4870420 5844504 7305629 7305630 9740840 14611258 14611260 21916887 29222516 29222520 36528145 43833774 46999553 58445032 73056290 87667548 93999106 109584435 140998659 146112580 175335096 187998212 219168870 234997765 281997318 292225160 375996424 438337740 469995530 563994636 704993295 876675480 939991060 1127989272 1409986590 1879982120 2819973180 5639946360 9218000413 18436000826 27654001239 36872001652 46090002065 55308002478 73744003304 92180004130 110616004956 138270006195 184360008260 221232009912 276540012390 368720016520 553080024780 1106160049560 1779074079709 3558148159418 5337222239127 7116296318836 8895370398545 10674444478254 14232592637672 17790740797090 21348888956508 26686111195635 35581481594180 42697777913016 53372222391270 71162963188360 106744444782540 213488889565080