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212935889088 = 263213312127233
BaseRepresentation
bin1100011001001111110…
…1111101000011000000
3202100121212102221022200
43012103331331003000
511442043041422323
6241453231033200
721245515123236
oct3062375750300
9670555387280
10212935889088
118233a83812a
123532796b800
1317106334a10
14a44011c956
155813e60443
hex3193f7d0c0

212935889088 has 504 divisors, whose sum is σ = 687464354304. Its totient is φ = 62635991040.

The previous prime is 212935889081. The next prime is 212935889093. The reversal of 212935889088 is 880988539212.

212935889088 is a `hidden beast` number, since 2 + 129 + 358 + 89 + 0 + 88 = 666.

212935889088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212935889081) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 913887820 + ... + 913888052.

It is an arithmetic number, because the mean of its divisors is an integer number (1364016576).

Almost surely, 2212935889088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212935889088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343732177152).

212935889088 is an abundant number, since it is smaller than the sum of its proper divisors (474528465216).

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

212935889088 is a wasteful number, since it uses less digits than its factorization.

212935889088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 212935889088 in words is "two hundred twelve billion, nine hundred thirty-five million, eight hundred eighty-nine thousand, eighty-eight".