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519663420468 = 2232294567108991
BaseRepresentation
bin1111000111111100101…
…10101000010000110100
31211200100020101222011200
413203332112220100310
532003232313423333
61034421410332500
752354513122663
oct7437626502064
91750306358150
10519663420468
1119042a4a9315
128486a28a130
133a008b8ac0a
141b21a932dda
15d7b7066c13
hex78fe5a8434

519663420468 has 72 divisors (see below), whose sum is σ = 1359199994880. Its totient is φ = 167209842240.

The previous prime is 519663420431. The next prime is 519663420509. The reversal of 519663420468 is 864024366915.

519663420468 is a `hidden beast` number, since 51 + 96 + 6 + 3 + 42 + 0 + 468 = 666.

519663420468 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5196634204682 (a number of 24 digits) contains 22 as substring.

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, 4713453 + ... + 4822443.

Almost surely, 2519663420468 is an apocalyptic number.

519663420468 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

519663420468 is an abundant number, since it is smaller than the sum of its proper divisors (839536574412).

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

519663420468 is a wasteful number, since it uses less digits than its factorization.

519663420468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113597 (or 113592 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 519663420468 in words is "five hundred nineteen billion, six hundred sixty-three million, four hundred twenty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 4567 9134 13701 18268 27402 41103 54804 82206 108991 132443 164412 217982 264886 326973 397329 435964 529772 653946 794658 980919 1191987 1307892 1589316 1961838 2383974 3160739 3923676 4767948 6321478 9482217 12642956 18964434 28446651 37928868 56893302 113786604 497761897 995523794 1493285691 1991047588 2986571382 4479857073 5973142764 8959714146 14435095013 17919428292 28870190026 43305285039 57740380052 86610570078 129915855117 173221140156 259831710234 519663420468