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212162282802 = 23840212
BaseRepresentation
bin1100010110010111011…
…0111000010100110010
3202021121221202200000000
43011211312320110302
511434002021022202
6241244354010430
721220402435311
oct3054566702462
9667557680000
10212162282802
1181a83094298
1235150876a16
1317011c93512
14a3a94a4278
1557bb09d91c
hex3165db8532

212162282802 has 54 divisors (see below), whose sum is σ = 477459625149. Its totient is φ = 70703173080.

The previous prime is 212162282753. The next prime is 212162282921. The reversal of 212162282802 is 208282261212.

It is a happy number.

212162282802 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 622 + 8 + 28 + 0 + 2 = 666.

212162282802 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 156182249601 + 55980033201 = 395199^2 + 236601^2 .

It is a tau number, because it is divible by the number of its divisors (54).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=325701.

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 26 ways as a sum of consecutive naturals, for example, 52761552 + ... + 52765572.

Almost surely, 2212162282802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212162282802

212162282802 is an abundant number, since it is smaller than the sum of its proper divisors (265297342347).

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

212162282802 is an frugal number, since it uses more digits than its factorization.

212162282802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8068 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 212162282802 in words is "two hundred twelve billion, one hundred sixty-two million, two hundred eighty-two thousand, eight hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4021 4374 6561 8042 12063 13122 24126 36189 72378 108567 217134 325701 651402 977103 1954206 2931309 5862618 8793927 16168441 17587854 26381781 32336882 48505323 52763562 97010646 145515969 291031938 436547907 873095814 1309643721 2619287442 3928931163 7857862326 11786793489 23573586978 35360380467 70720760934 106081141401 212162282802