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5178604512 = 2531013891373
BaseRepresentation
bin1001101001010101…
…10011101111100000
3111100220110100220010
410310222303233200
541101210321022
62213511244520
7242221261224
oct46452635740
914326410803
105178604512
112218207244
121006379740
13646b64533
14371ab4784
1520498650c
hex134ab3be0

5178604512 has 96 divisors (see below), whose sum is σ = 13773745440. Its totient is φ = 1703475200.

The previous prime is 5178604499. The next prime is 5178604531. The reversal of 5178604512 is 2154068715.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3771058 + ... + 3772430.

It is an arithmetic number, because the mean of its divisors is an integer number (143476515).

Almost surely, 25178604512 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 5178604512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6886872720).

5178604512 is an abundant number, since it is smaller than the sum of its proper divisors (8595140928).

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

5178604512 is a wasteful number, since it uses less digits than its factorization.

5178604512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 5178604512 is about 71962.5215789441. The cubic root of 5178604512 is about 1730.0988407337.

The spelling of 5178604512 in words is "five billion, one hundred seventy-eight million, six hundred four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 389 404 606 778 808 1167 1212 1373 1556 1616 2334 2424 2746 3112 3232 4119 4668 4848 5492 6224 8238 9336 9696 10984 12448 16476 18672 21968 32952 37344 39289 43936 65904 78578 117867 131808 138673 157156 235734 277346 314312 416019 471468 534097 554692 628624 832038 942936 1068194 1109384 1257248 1602291 1664076 1885872 2136388 2218768 3204582 3328152 3771744 4272776 4437536 6409164 6656304 8545552 12818328 13312608 17091104 25636656 51273312 53943797 107887594 161831391 215775188 323662782 431550376 647325564 863100752 1294651128 1726201504 2589302256 5178604512