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66608835200 = 2752162112841
BaseRepresentation
bin111110000010001100…
…100010101010000000
320100221002021102022022
4332002030202222000
52042403330211300
650333310301012
74545425520545
oct760214425200
9210832242268
1066608835200
1126280a50836
1210aab1b7768
1363869c616b
14331c4a8bcc
151aeca51285
hexf82322a80

66608835200 has 96 divisors (see below), whose sum is σ = 164658968220. Its totient is φ = 26625024000.

The previous prime is 66608835127. The next prime is 66608835329. The reversal of 66608835200 is 253880666.

It can be written as a sum of positive squares in 6 ways, for example, as 32247539776 + 34361295424 = 179576^2 + 185368^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5180780 + ... + 5193620.

Almost surely, 266608835200 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 66608835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82329484110).

66608835200 is an abundant number, since it is smaller than the sum of its proper divisors (98050133020).

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

66608835200 is a wasteful number, since it uses less digits than its factorization.

66608835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14486 (or 14469 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 66608835200 in words is "sixty-six billion, six hundred eight million, eight hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 1621 3200 3242 6484 8105 12841 12968 16210 25682 25936 32420 40525 51364 51872 64205 64840 81050 102728 103744 128410 129680 162100 205456 207488 256820 259360 321025 324200 410912 513640 518720 642050 648400 821824 1027280 1037440 1284100 1296800 1643648 2054560 2568200 2593600 4109120 5136400 5187200 8218240 10272800 20545600 20815261 41091200 41630522 83261044 104076305 166522088 208152610 333044176 416305220 520381525 666088352 832610440 1040763050 1332176704 1665220880 2081526100 2664353408 3330441760 4163052200 6660883520 8326104400 13321767040 16652208800 33304417600 66608835200