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212520435426 = 23313793832097
BaseRepresentation
bin1100010111101100110…
…1000111111011100010
3202022112220200201001000
43011323031013323202
511440220212413201
6241344110252430
721232311616125
oct3057315077342
9668486621030
10212520435426
11821472776a2
12352307b7116
131706b242450
14a400c943bc
1557dc747d86
hex317b347ee2

212520435426 has 64 divisors (see below), whose sum is σ = 515033971200. Its totient is φ = 64563153408.

The previous prime is 212520435353. The next prime is 212520435431. The reversal of 212520435426 is 624534025212.

212520435426 is a `hidden beast` number, since 2 + 1 + 25 + 204 + 3 + 5 + 426 = 666.

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, 1860591 + ... + 1971506.

It is an arithmetic number, because the mean of its divisors is an integer number (8047405800).

Almost surely, 2212520435426 is an apocalyptic number.

212520435426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

212520435426 is an abundant number, since it is smaller than the sum of its proper divisors (302513535774).

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

212520435426 is a wasteful number, since it uses less digits than its factorization.

212520435426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832200 (or 3832194 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 212520435426 in words is "two hundred twelve billion, five hundred twenty million, four hundred thirty-five thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 79 117 158 234 237 351 474 702 711 1027 1422 2054 2133 3081 4266 6162 9243 18486 27729 55458 3832097 7664194 11496291 22992582 34488873 49817261 68977746 99634522 103466619 149451783 206933238 298903566 302735663 448355349 605471326 896710698 908206989 1345066047 1816413978 2690132094 2724620967 3935563619 5449241934 7871127238 8173862901 11806690857 16347725802 23613381714 35420072571 70840145142 106260217713 212520435426