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5319124883325 = 32521123293222101
BaseRepresentation
bin100110101100111010010…
…0011001001011101111101
3200211111120221212220000100
41031121310203021131331
51144122031432231300
615151323334151313
71056202605341031
oct115316443113575
920744527786010
105319124883325
111770912366760
1271aa701b2539
132c778c1a7186
141456388901c1
1593568dd7700
hex4d6748c977d

5319124883325 has 144 divisors (see below), whose sum is σ = 11219101395840. Its totient is φ = 2381776320000.

The previous prime is 5319124883263. The next prime is 5319124883381. The reversal of 5319124883325 is 5233884219135.

5319124883325 is a `hidden beast` number, since 5 + 319 + 1 + 248 + 83 + 3 + 2 + 5 = 666.

5319124883325 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5319124883325 - 211 = 5319124881277 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39775 + ... + 3261875.

It is an arithmetic number, because the mean of its divisors is an integer number (77910426360).

Almost surely, 25319124883325 is an apocalyptic number.

5319124883325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5319124883325 is an abundant number, since it is smaller than the sum of its proper divisors (5899976512515).

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

5319124883325 is a wasteful number, since it uses less digits than its factorization.

5319124883325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222180 (or 3222172 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 5319124883325 in words is "five trillion, three hundred nineteen billion, one hundred twenty-four million, eight hundred eighty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 23 25 29 33 45 55 69 75 87 99 115 145 165 207 225 253 261 275 319 345 435 495 575 667 725 759 825 957 1035 1265 1305 1595 1725 2001 2175 2277 2475 2871 3335 3795 4785 5175 6003 6325 6525 7337 7975 10005 11385 14355 16675 18975 22011 23925 30015 36685 50025 56925 66033 71775 110055 150075 183425 330165 550275 1650825 3222101 9666303 16110505 28998909 35443111 48331515 74108323 80552525 93440929 106329333 144994545 177215555 222324969 241657575 280322787 318987999 370541615 467204645 531646665 666974907 724972725 815191553 840968361 886077775 1027850219 1111624845 1401613935 1594939995 1852708075 2149141367 2336023225 2445574659 2658233325 3083550657 3334874535 4075957765 4204841805 5139251095 5558124225 6447424101 7008069675 7336723977 7974699975 9250651971 10745706835 12227873295 15417753285 16674372675 19342272303 20379788825 21024209025 23640555037 25696255475 32237120505 36683619885 46253259855 53728534175 61139366475 70921665111 77088766425 96711361515 118202775185 161185602525 183418099425 212764995333 231266299275 354608325555 483556807575 591013875925 1063824976665 1773041627775 5319124883325