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212994191808 = 26324153379449
BaseRepresentation
bin1100011001011101110…
…0010111000111000000
3202100202221011000121200
43012113130113013000
511442203003114213
6241503112421200
721250123521066
oct3062734270700
9670687130550
10212994191808
118236a7398a2
12353433a7800
1317115439278
14a447b78036
15581912a273
hex31977171c0

212994191808 has 336 divisors, whose sum is σ = 640304028000. Its totient is φ = 67629219840.

The previous prime is 212994191797. The next prime is 212994191831. The reversal of 212994191808 is 808191499212.

212994191808 is a `hidden beast` number, since 21 + 29 + 9 + 419 + 180 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474374368 + ... + 474374816.

It is an arithmetic number, because the mean of its divisors is an integer number (1905666750).

Almost surely, 2212994191808 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 212994191808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320152014000).

212994191808 is an abundant number, since it is smaller than the sum of its proper divisors (427309836192).

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

212994191808 is a wasteful number, since it uses less digits than its factorization.

212994191808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 212994191808 in words is "two hundred twelve billion, nine hundred ninety-four million, one hundred ninety-one thousand, eight hundred eight".