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519442804764 = 22321310710373089
BaseRepresentation
bin1111000111100010011…
…01000011000000011100
31211122202212021112022200
413203301031003000130
532002304324223024
61034343450011500
752346163663342
oct7436115030034
91748685245280
10519442804764
11190326a15494
1284808416b90
1339ca2266190
141b1d9505992
15d7a29d92c9
hex78f134301c

519442804764 has 72 divisors (see below), whose sum is σ = 1427254199280. Its totient is φ = 158334815232.

The previous prime is 519442804763. The next prime is 519442804787. The reversal of 519442804764 is 467408244915.

519442804764 is a `hidden beast` number, since 5 + 1 + 94 + 4 + 2 + 80 + 476 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 519442804764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (519442804763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5136469 + ... + 5236620.

It is an arithmetic number, because the mean of its divisors is an integer number (19822974990).

Almost surely, 2519442804764 is an apocalyptic number.

It is an amenable number.

519442804764 is an abundant number, since it is smaller than the sum of its proper divisors (907811394516).

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

519442804764 is a wasteful number, since it uses less digits than its factorization.

519442804764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10373219 (or 10373214 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 519442804764 in words is "five hundred nineteen billion, four hundred forty-two million, eight hundred four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 107 117 156 214 234 321 428 468 642 963 1284 1391 1926 2782 3852 4173 5564 8346 12519 16692 25038 50076 10373089 20746178 31119267 41492356 62238534 93357801 124477068 134850157 186715602 269700314 373431204 404550471 539400628 809100942 1109920523 1213651413 1618201884 2219841046 2427302826 3329761569 4439682092 4854605652 6659523138 9989284707 13319046276 14428966799 19978569414 28857933598 39957138828 43286900397 57715867196 86573800794 129860701191 173147601588 259721402382 519442804764