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204444356615512 = 231383227310419917
BaseRepresentation
bin101110011111000011101001…
…010000001001110101011000
3222210212200121201200122221221
4232133003221100021311120
5203244104020243144022
62002452235115541424
761030421513245456
oct5637035120116530
9883780551618857
10204444356615512
115a162401502042
121ab1a82945a874
138a1003522acb0
14386b2341579d6
151898100b43cc7
hexb9f0e9409d58

204444356615512 has 64 divisors (see below), whose sum is σ = 417977921904480. Its totient is φ = 93181057462272.

The previous prime is 204444356615461. The next prime is 204444356615561. The reversal of 204444356615512 is 215516653444402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 204444356615512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14410578 + ... + 24830494.

Almost surely, 2204444356615512 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 204444356615512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208988960952240).

204444356615512 is an abundant number, since it is smaller than the sum of its proper divisors (213533565288968).

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

204444356615512 is a wasteful number, since it uses less digits than its factorization.

204444356615512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10422292 (or 10422288 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 52.

The spelling of 204444356615512 in words is "two hundred four trillion, four hundred forty-four billion, three hundred fifty-six million, six hundred fifteen thousand, five hundred twelve".

Divisors: 1 2 4 8 13 26 52 83 104 166 332 664 1079 2158 2273 4316 4546 8632 9092 18184 29549 59098 118196 188659 236392 377318 754636 1509272 2452567 4905134 9810268 10419917 19620536 20839834 41679668 83359336 135458921 270917842 541835684 864853111 1083671368 1729706222 3459412444 6918824888 11243090443 22486180886 23684471341 44972361772 47368942682 89944723544 94737885364 189475770728 307898127433 615796254866 1231592509732 1965811121303 2463185019464 3931622242606 7863244485212 15726488970424 25555544576939 51111089153878 102222178307756 204444356615512