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66137739136 = 277313836217
BaseRepresentation
bin111101100110000111…
…011100111110000000
320022201020211020222221
4331212013130332000
52040422230123021
650214441140424
74530645335620
oct754607347600
9208636736887
1066137739136
112605a036347
121099948a714
1363102211b1
1432b5ab8880
151ac14e7241
hexf661dcf80

66137739136 has 128 divisors (see below), whose sum is σ = 155869839360. Its totient is φ = 27354378240.

The previous prime is 66137739127. The next prime is 66137739137. The reversal of 66137739136 is 63193773166.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66137739137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10635100 + ... + 10641316.

It is an arithmetic number, because the mean of its divisors is an integer number (1217733120).

Almost surely, 266137739136 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 66137739136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77934919680).

66137739136 is an abundant number, since it is smaller than the sum of its proper divisors (89732100224).

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

66137739136 is a wasteful number, since it uses less digits than its factorization.

66137739136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6652 (or 6640 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 52.

The spelling of 66137739136 in words is "sixty-six billion, one hundred thirty-seven million, seven hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 383 434 448 496 766 868 896 992 1532 1736 1984 2681 3064 3472 3968 5362 6128 6217 6944 10724 11873 12256 12434 13888 21448 23746 24512 24868 27776 42896 43519 47492 49024 49736 83111 85792 87038 94984 99472 166222 171584 174076 189968 192727 198944 332444 343168 348152 379936 385454 397888 664888 696304 759872 770908 795776 1329776 1349089 1392608 1519744 1541816 2381111 2659552 2698178 2785216 3083632 4762222 5319104 5396356 5570432 6167264 9524444 10638208 10792712 12334528 16667777 19048888 21585424 24669056 33335554 38097776 43170848 66671108 73814441 76195552 86341696 133342216 147628882 152391104 172683392 266684432 295257764 304782208 516701087 533368864 590515528 1033402174 1066737728 1181031056 2066804348 2133475456 2362062112 4133608696 4724124224 8267217392 9448248448 16534434784 33068869568 66137739136