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211434857253192 = 233316138511209763
BaseRepresentation
bin110000000100110010000011…
…100011110100100101001000
31000201121222022201221001000010
4300010302003203310211020
5210203122041424100232
62025403455453111520
762351443603255056
oct6004620343644510
91021558281831003
10211434857253192
1161408023907921
121b8695a9a885a0
1390c92b57b5571
143a2d70490b1d6
151969d8c3c70cc
hexc04c838f4948

211434857253192 has 128 divisors (see below), whose sum is σ = 554727700869120. Its totient is φ = 67069205280000.

The previous prime is 211434857253187. The next prime is 211434857253239. The reversal of 211434857253192 is 291352758434112.

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, 174168903 + ... + 175378665.

It is an arithmetic number, because the mean of its divisors is an integer number (4333810163040).

Almost surely, 2211434857253192 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 211434857253192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277363850434560).

211434857253192 is an abundant number, since it is smaller than the sum of its proper divisors (343292843615928).

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

211434857253192 is a wasteful number, since it uses less digits than its factorization.

211434857253192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213715 (or 1213711 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 57.

The spelling of 211434857253192 in words is "two hundred eleven trillion, four hundred thirty-four billion, eight hundred fifty-seven million, two hundred fifty-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 31 61 62 93 122 124 183 186 244 248 366 372 488 732 744 1464 1891 3782 3851 5673 7564 7702 11346 11553 15128 15404 22692 23106 30808 45384 46212 92424 119381 234911 238762 358143 469822 477524 704733 716286 939644 955048 1209763 1409466 1432572 1879288 2419526 2818932 2865144 3629289 4839052 5637864 7258578 7282241 9678104 14517156 14564482 21846723 29034312 29128964 37502653 43693446 58257928 73795543 75005306 87386892 112507959 147591086 150010612 174773784 221386629 225015918 295182172 300021224 442773258 450031836 590364344 885546516 900063672 1771093032 2287661833 4575323666 4658797313 6862985499 9150647332 9317594626 13725970998 13976391939 18301294664 18635189252 27451941996 27952783878 37270378504 54903883992 55905567756 111811135512 144422716703 284186636093 288845433406 433268150109 568373272186 577690866812 852559908279 866536300218 1136746544372 1155381733624 1705119816558 1733072600436 2273493088744 3410239633116 3466145200872 6820479266232 8809785718883 17619571437766 26429357156649 35239142875532 52858714313298 70478285751064 105717428626596 211434857253192