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663625513012 = 2271123726320129
BaseRepresentation
bin10011010100000110010…
…10011011100000110100
32100102221012111000010011
421222003022123200310
541333101112404022
61224510525510004
765642154534340
oct11520312334064
92312835430104
10663625513012
11236495335200
12a8746a12304
134a76c55b367
1424196448620
15123e0a21977
hex9a8329b834

663625513012 has 144 divisors (see below), whose sum is σ = 1504080103680. Its totient is φ = 250598430720.

The previous prime is 663625513007. The next prime is 663625513013. The reversal of 663625513012 is 210315526366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663625513013) 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 47 ways as a sum of consecutive naturals, for example, 32958564 + ... + 32978692.

It is an arithmetic number, because the mean of its divisors is an integer number (10445000720).

Almost surely, 2663625513012 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 663625513012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752040051840).

663625513012 is an abundant number, since it is smaller than the sum of its proper divisors (840454590668).

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

663625513012 is a wasteful number, since it uses less digits than its factorization.

663625513012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20462 (or 20449 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 663625513012 in words is "six hundred sixty-three billion, six hundred twenty-five million, five hundred thirteen thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 121 148 154 242 259 263 308 407 484 518 526 814 847 1036 1052 1628 1694 1841 2849 2893 3388 3682 4477 5698 5786 7364 8954 9731 11396 11572 17908 19462 20129 20251 31339 31823 38924 40258 40502 62678 63646 68117 80516 81004 107041 125356 127292 136234 140903 214082 221419 222761 272468 281806 428164 442838 445522 563612 744773 749287 885676 891044 1177451 1489546 1498574 1549933 2354902 2435609 2979092 2997148 3099866 4709804 4871218 5213411 5293927 6199732 8192503 8242157 9742436 10426822 10587854 16385006 16484314 17049263 20853644 21175708 32770012 32968628 34098526 37057489 57347521 58233197 68197052 74114978 90117533 114695042 116466394 148229956 180235066 195875299 229390084 232932788 360470132 391750598 407632379 630822731 640565167 783501196 815264758 1261645462 1281130334 1371127093 1630529516 2154628289 2523290924 2562260668 2742254186 4309256578 4483956169 5484508372 8618513156 8967912338 15082398023 17935824676 23700911179 30164796046 47401822358 60329592092 94803644716 165906378253 331812756506 663625513012