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66154523680 = 2557253159209
BaseRepresentation
bin111101100111000111…
…011110110000100000
320022202102102000001201
4331213013132300200
52040441024224210
650220241010544
74531241113300
oct754707366040
9208672360051
1066154523680
112606855a873
12109a3023a54
136313849b8b
1432b8007600
151ac2c1053a
hexf671dec20

66154523680 has 144 divisors (see below), whose sum is σ = 185238287640. Its totient is φ = 22253457408.

The previous prime is 66154523671. The next prime is 66154523681. The reversal of 66154523680 is 8632545166.

It can be written as a sum of positive squares in 4 ways, for example, as 65940076944 + 214446736 = 256788^2 + 14644^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66154523680.

It is not an unprimeable number, because it can be changed into a prime (66154523681) 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 23 ways as a sum of consecutive naturals, for example, 335916 + ... + 495124.

Almost surely, 266154523680 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 66154523680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92619143820).

66154523680 is an abundant number, since it is smaller than the sum of its proper divisors (119083763960).

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

66154523680 is a wasteful number, since it uses less digits than its factorization.

66154523680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159291 (or 159276 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 66154523680 in words is "sixty-six billion, one hundred fifty-four million, five hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 53 56 70 80 98 106 112 140 160 196 212 224 245 265 280 371 392 424 490 530 560 742 784 848 980 1060 1120 1484 1568 1696 1855 1960 2120 2597 2968 3710 3920 4240 5194 5936 7420 7840 8480 10388 11872 12985 14840 20776 25970 29680 41552 51940 59360 83104 103880 159209 207760 318418 415520 636836 796045 1114463 1273672 1592090 2228926 2547344 3184180 4457852 5094688 5572315 6368360 7801241 8438077 8915704 11144630 12736720 15602482 16876154 17831408 22289260 25473440 31204964 33752308 35662816 39006205 42190385 44578520 59066539 62409928 67504616 78012410 84380770 89157040 118133078 124819856 135009232 156024820 168761540 178314080 236266156 249639712 270018464 295332695 312049640 337523080 413465773 472532312 590665390 624099280 675046160 826931546 945064624 1181330780 1248198560 1350092320 1653863092 1890129248 2067328865 2362661560 3307726184 4134657730 4725323120 6615452368 8269315460 9450646240 13230904736 16538630920 33077261840 66154523680