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209130668352 = 26323112792221
BaseRepresentation
bin1100001011000100101…
…0001100000101000000
3201222210200020200210100
43002301022030011000
511411244422341402
6240023500002400
721052311231234
oct3026112140500
9658720220710
10209130668352
11807678a0501
1234645530400
131694ab90208
14a19c9cc5c4
15568ed6271c
hex30b128c140

209130668352 has 168 divisors, whose sum is σ = 623650906112. Its totient is φ = 66929587200.

The previous prime is 209130668333. The next prime is 209130668447. The reversal of 209130668352 is 253866031902.

209130668352 is a `hidden beast` number, since 209 + 1 + 30 + 6 + 68 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 209130668298 and 209130668307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2221602 + ... + 2313822.

Almost surely, 2209130668352 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 209130668352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311825453056).

209130668352 is an abundant number, since it is smaller than the sum of its proper divisors (414520237760).

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

209130668352 is a wasteful number, since it uses less digits than its factorization.

209130668352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92397 (or 92384 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 209130668352 in words is "two hundred nine billion, one hundred thirty million, six hundred sixty-eight thousand, three hundred fifty-two".