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212734854096 = 24329152826763
BaseRepresentation
bin1100011000011111111…
…1000100001111010000
3202100002212011022011020
43012013333010033100
511441140110312341
6241421250115440
721240524265342
oct3060777041720
9670085138136
10212734854096
1182247308606
123529057bb80
13170a37a75bb
14a42154b292
15580149e566
hex3187fc43d0

212734854096 has 40 divisors (see below), whose sum is σ = 568515562080. Its totient is φ = 68466389376.

The previous prime is 212734854089. The next prime is 212734854191. The reversal of 212734854096 is 690458437212.

212734854096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2127348540962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 76411990 + ... + 76414773.

It is an arithmetic number, because the mean of its divisors is an integer number (14212889052).

It is a 1-persistent number, because it is pandigital, but 2⋅212734854096 = 425469708192 is not.

Almost surely, 2212734854096 is an apocalyptic number.

It is an amenable number.

212734854096 is an abundant number, since it is smaller than the sum of its proper divisors (355780707984).

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

212734854096 is a wasteful number, since it uses less digits than its factorization.

212734854096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152826803 (or 152826797 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 212734854096 in words is "two hundred twelve billion, seven hundred thirty-four million, eight hundred fifty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 152826763 305653526 458480289 611307052 916960578 1222614104 1833921156 2445228208 3667842312 4431976127 7335684624 8863952254 13295928381 17727904508 26591856762 35455809016 53183713524 70911618032 106367427048 212734854096