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212345748054 = 232112969361217
BaseRepresentation
bin1100010111000011001…
…0101111101001010110
3202022002201222200000100
43011300302233221112
511434341002414204
6241314510154530
721225061035366
oct3056062575126
9668081880010
10212345748054
1182067703470
12351a21b2a46
1317040cab73b
14a3c59c09a6
1557cc23da39
hex3170cafa56

212345748054 has 48 divisors (see below), whose sum is σ = 502078571280. Its totient is φ = 64325345280.

The previous prime is 212345748053. The next prime is 212345748077. The reversal of 212345748054 is 450847543212.

212345748054 is a `hidden beast` number, since 2 + 1 + 23 + 4 + 574 + 8 + 0 + 54 = 666.

It is a super-2 number, since 2×2123457480542 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212345748053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407254 + ... + 768470.

It is an arithmetic number, because the mean of its divisors is an integer number (10459970235).

Almost surely, 2212345748054 is an apocalyptic number.

212345748054 is an abundant number, since it is smaller than the sum of its proper divisors (289732823226).

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

212345748054 is a wasteful number, since it uses less digits than its factorization.

212345748054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364205 (or 364202 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 212345748054 in words is "two hundred twelve billion, three hundred forty-five million, seven hundred forty-eight thousand, fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2969 5938 8907 17814 26721 32659 53442 65318 97977 195954 293931 361217 587862 722434 1083651 2167302 3250953 3973387 6501906 7946774 11920161 23840322 35760483 71520966 1072453273 2144906546 3217359819 6434719638 9652079457 11796986003 19304158914 23593972006 35390958009 70781916018 106172874027 212345748054