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203234928696072 = 2333713415910634021
BaseRepresentation
bin101110001101011101010001…
…101110110001101100001000
3222122121001212121200121212000
4232031131101232301230020
5203114300113221233242
62000124500510151000
760544144664455020
oct5615352156615410
9878531777617760
10203234928696072
11598364a3a1a599
121a96435a4b2460
138952c82627740
1438288a1866a80
151876918400a4c
hexb8d751bb1b08

203234928696072 has 1024 divisors, whose sum is σ = 724692068352000. Its totient is φ = 51345637171200.

The previous prime is 203234928696049. The next prime is 203234928696119. The reversal of 203234928696072 is 270696829432302.

It is a happy number.

203234928696072 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 3 + 492 + 86 + 9 + 60 + 7 + 2 = 666.

203234928696072 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 50543377422 + ... + 50543381442.

It is an arithmetic number, because the mean of its divisors is an integer number (707707098000).

Almost surely, 2203234928696072 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 203234928696072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362346034176000).

203234928696072 is an abundant number, since it is smaller than the sum of its proper divisors (521457139655928).

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

203234928696072 is a wasteful number, since it uses less digits than its factorization.

203234928696072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5219 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 203234928696072 in words is "two hundred three trillion, two hundred thirty-four billion, nine hundred twenty-eight million, six hundred ninety-six thousand, seventy-two".