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208034796828672 = 211331119235314767
BaseRepresentation
bin101111010011010011100000…
…001010100111100000000000
31000021120221011200101111201000
4233103103200022213200000
5204231420230442004142
62014241511042212000
761551006125434122
oct5723234012474000
91007527150344630
10208034796828672
1160317075398a30
121b3ba654654000
138c1079bc7c098
143952d1b803212
15190b6e0d0114c
hexbd34e02a7800

208034796828672 has 1536 divisors, whose sum is σ = 752405262336000. Its totient is φ = 56044610519040.

The previous prime is 208034796828659. The next prime is 208034796828713. The reversal of 208034796828672 is 276828697430802.

208034796828672 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 3 + 479 + 6 + 8 + 2 + 86 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 208034796828672.

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 127 ways as a sum of consecutive naturals, for example, 14087809833 + ... + 14087824599.

It is an arithmetic number, because the mean of its divisors is an integer number (489847176000).

Almost surely, 2208034796828672 is an apocalyptic number.

208034796828672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208034796828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376202631168000).

208034796828672 is an abundant number, since it is smaller than the sum of its proper divisors (544370465507328).

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

208034796828672 is a wasteful number, since it uses less digits than its factorization.

208034796828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14904 (or 14878 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 208034796828672 in words is "two hundred eight trillion, thirty-four billion, seven hundred ninety-six million, eight hundred twenty-eight thousand, six hundred seventy-two".