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212659642764 = 223243113705829
BaseRepresentation
bin1100011000001110000…
…0001010000110001100
3202022220121122011121100
43012003200022012030
511441011332032024
6241410002103100
721235622065332
oct3060340120614
9668817564540
10212659642764
1182208908188
123526b34aa90
1317091032a5a
14a41556db52
1557e9a947c9
hex318380a18c

212659642764 has 36 divisors (see below), whose sum is σ = 538803588960. Its totient is φ = 70722072480.

The previous prime is 212659642753. The next prime is 212659642829. The reversal of 212659642764 is 467246956212.

212659642764 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 596 + 42 + 7 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 212659642764.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6837399 + ... + 6868430.

It is an arithmetic number, because the mean of its divisors is an integer number (14966766360).

Almost surely, 2212659642764 is an apocalyptic number.

It is an amenable number.

212659642764 is an abundant number, since it is smaller than the sum of its proper divisors (326143946196).

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

212659642764 is a wasteful number, since it uses less digits than its factorization.

212659642764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13706270 (or 13706265 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 212659642764 in words is "two hundred twelve billion, six hundred fifty-nine million, six hundred forty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 431 862 1293 1724 2586 3879 5172 7758 15516 13705829 27411658 41117487 54823316 82234974 123352461 164469948 246704922 493409844 5907212299 11814424598 17721636897 23628849196 35443273794 53164910691 70886547588 106329821382 212659642764