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66608942288 = 2475340127983
BaseRepresentation
bin111110000010001100…
…111100110011010000
320100221002110212012112
4332002030330303100
52042403342123123
650333312444452
74545426445010
oct760214746320
9210832425175
1066608942288
1126281014239
1210aab249728
136386a32b25
14331c4d5c40
151aeca72d78
hexf8233ccd0

66608942288 has 80 divisors (see below), whose sum is σ = 150654214656. Its totient is φ = 27937228800.

The previous prime is 66608942263. The next prime is 66608942293. The reversal of 66608942288 is 88224980666.

It is a super-2 number, since 2×666089422882 (a number of 22 digits) contains 22 as substring.

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, 2366345 + ... + 2394327.

Almost surely, 266608942288 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 66608942288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75327107328).

66608942288 is an abundant number, since it is smaller than the sum of its proper divisors (84045272368).

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

66608942288 is a wasteful number, since it uses less digits than its factorization.

66608942288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28452 (or 28446 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 59.

The spelling of 66608942288 in words is "sixty-six billion, six hundred eight million, nine hundred forty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 401 424 742 802 848 1484 1604 2807 2968 3208 5614 5936 6416 11228 21253 22456 27983 42506 44912 55966 85012 111932 148771 170024 195881 223864 297542 340048 391762 447728 595084 783524 1190168 1483099 1567048 2380336 2966198 3134096 5932396 10381693 11221183 11864792 20763386 22442366 23729584 41526772 44884732 78548281 83053544 89769464 157096562 166107088 179538928 314193124 594722699 628386248 1189445398 1256772496 2378890796 4163058893 4757781592 8326117786 9515563184 16652235572 33304471144 66608942288