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204380787828464 = 24137347269284759
BaseRepresentation
bin101110011110001000011100…
…010000011110011011110000
3222210122121112111210200201122
4232132020130100132123300
5203242033323141002324
62002403123204121412
761023011310416012
oct5636103420363360
9883577474720648
10204380787828464
115a1384505954a5
121ab0a448396268
138a070442cbac0
14386812371c1b2
15189662ee47a5e
hexb9e21c41e6f0

204380787828464 has 80 divisors (see below), whose sum is σ = 432300796603200. Its totient is φ = 93035113187328.

The previous prime is 204380787828463. The next prime is 204380787828509. The reversal of 204380787828464 is 464828787083402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204380787828463) by changing a digit.

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, 717590117 + ... + 717874875.

It is an arithmetic number, because the mean of its divisors is an integer number (5403759957540).

Almost surely, 2204380787828464 is an apocalyptic number.

It is an amenable number.

204380787828464 is an abundant number, since it is smaller than the sum of its proper divisors (227920008774736).

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

204380787828464 is a wasteful number, since it uses less digits than its factorization.

204380787828464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332122 (or 332116 counting only the distinct ones).

The product of its (nonzero) digits is 924844032, while the sum is 71.

The spelling of 204380787828464 in words is "two hundred four trillion, three hundred eighty billion, seven hundred eighty-seven million, eight hundred twenty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 73 104 146 208 292 584 949 1168 1898 3796 7592 15184 47269 94538 189076 284759 378152 569518 614497 756304 1139036 1228994 2278072 2457988 3450637 3701867 4556144 4915976 6901274 7403734 9831952 13802548 14807468 20787407 27605096 29614936 41574814 44858281 55210192 59229872 83149628 89716562 166299256 179433124 270236291 332598512 358866248 540472582 717732496 1080945164 2161890328 4323780656 13460273171 26920546342 53841092684 107682185368 174983551223 215364370736 349967102446 699934204892 982599941483 1399868409784 1965199882966 2799736819568 3930399765932 7860799531864 12773799239279 15721599063728 25547598478558 51095196957116 102190393914232 204380787828464