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212442063354 = 232175313099153
BaseRepresentation
bin1100010111011010001…
…0001010000111111010
3202022100110012222202200
43011312202022013322
511440040132011404
6241332230411030
721230340513123
oct3056642120772
9668313188680
10212442063354
1182107008594
123520a500a76
1317057c32041
14a3d46d304a
1557d5916839
hex317688a1fa

212442063354 has 48 divisors (see below), whose sum is σ = 496562729832. Its totient is φ = 65390966784.

The previous prime is 212442063341. The next prime is 212442063367. The reversal of 212442063354 is 453360244212.

212442063354 is a `hidden beast` number, since 2 + 1 + 244 + 2 + 0 + 63 + 354 = 666.

212442063354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212442063341) and next prime (212442063367).

It can be written as a sum of positive squares in 4 ways, for example, as 193928379129 + 18513684225 = 440373^2 + 136065^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6533359 + ... + 6565794.

Almost surely, 2212442063354 is an apocalyptic number.

212442063354 is an abundant number, since it is smaller than the sum of its proper divisors (284120666478).

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

212442063354 is a wasteful number, since it uses less digits than its factorization.

212442063354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13099231 (or 13099228 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 212442063354 in words is "two hundred twelve billion, four hundred forty-two million, sixty-three thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 34 51 53 102 106 153 159 306 318 477 901 954 1802 2703 5406 8109 16218 13099153 26198306 39297459 78594918 117892377 222685601 235784754 445371202 668056803 694255109 1336113606 1388510218 2004170409 2082765327 4008340818 4165530654 6248295981 11802336853 12496591962 23604673706 35407010559 70814021118 106221031677 212442063354