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212434414032 = 2436766055477
BaseRepresentation
bin1100010111011000010…
…0111110100111010000
3202022022220211100212110
43011312010332213100
511440031202222112
6241331354425320
721230215503651
oct3056604764720
9668286740773
10212434414032
1182102763535
1235207a32240
1317056484409
14a3d36a1528
1557d4e0513c
hex317613e9d0

212434414032 has 40 divisors (see below), whose sum is σ = 556979790496. Its totient is φ = 69754582656.

The previous prime is 212434413991. The next prime is 212434414039. The reversal of 212434414032 is 230414434212.

212434414032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212434414039) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 33024523 + ... + 33030954.

Almost surely, 2212434414032 is an apocalyptic number.

It is an amenable number.

212434414032 is an abundant number, since it is smaller than the sum of its proper divisors (344545376464).

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

212434414032 is a wasteful number, since it uses less digits than its factorization.

212434414032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66055555 (or 66055549 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 212434414032 its reverse (230414434212), we get a palindrome (442848848244).

The spelling of 212434414032 in words is "two hundred twelve billion, four hundred thirty-four million, four hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 66055477 132110954 198166431 264221908 396332862 528443816 792665724 1056887632 1585331448 3170662896 4425716959 8851433918 13277150877 17702867836 26554301754 35405735672 53108603508 70811471344 106217207016 212434414032