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212998955832 = 233313378292473
BaseRepresentation
bin1100011001011110111…
…0100010001100111000
3202100210021010001122000
43012113232202030320
511442210213041312
6241503402501000
721250212152265
oct3062756421470
9670707101560
10212998955832
11823723a3103
1235344b04760
1317116416810
14a44865826c
15581976badc
hex3197ba2338

212998955832 has 256 divisors, whose sum is σ = 655451664000. Its totient is φ = 63664164864.

The previous prime is 212998955773. The next prime is 212998955833. The reversal of 212998955832 is 238559899212.

212998955832 is a `hidden beast` number, since 21 + 29 + 9 + 8 + 9 + 5 + 583 + 2 = 666.

212998955832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212998955832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212998955833) 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 63 ways as a sum of consecutive naturals, for example, 86128548 + ... + 86131020.

Almost surely, 2212998955832 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 212998955832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327725832000).

212998955832 is an abundant number, since it is smaller than the sum of its proper divisors (442452708168).

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

212998955832 is a wasteful number, since it uses less digits than its factorization.

212998955832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3357 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 63.

The spelling of 212998955832 in words is "two hundred twelve billion, nine hundred ninety-eight million, nine hundred fifty-five thousand, eight hundred thirty-two".