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66445514544 = 2434773834861
BaseRepresentation
bin111101111000011101…
…100001011100110000
320100111200221212111010
4331320131201130300
52042040022431134
650305153550520
74541403361203
oct757035413460
9210450855433
1066445514544
11261a7840592
1210a64575440
13635bc12116
14330491393a
151add53ece9
hexf78761730

66445514544 has 160 divisors (see below), whose sum is σ = 179882486784. Its totient is φ = 21118371840.

The previous prime is 66445514521. The next prime is 66445514561. The reversal of 66445514544 is 44541554466.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 66445514493 and 66445514502.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13666674 + ... + 13671534.

Almost surely, 266445514544 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 66445514544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89941243392).

66445514544 is an abundant number, since it is smaller than the sum of its proper divisors (113436972240).

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

66445514544 is a wasteful number, since it uses less digits than its factorization.

66445514544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5075 (or 5069 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 48.

The spelling of 66445514544 in words is "sixty-six billion, four hundred forty-five million, five hundred fourteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 73 83 94 141 146 166 188 219 249 282 292 332 376 438 498 564 584 664 752 876 996 1128 1168 1328 1752 1992 2256 3431 3504 3901 3984 4861 6059 6862 7802 9722 10293 11703 12118 13724 14583 15604 18177 19444 20586 23406 24236 27448 29166 31208 36354 38888 41172 46812 48472 54896 58332 62416 72708 77776 82344 93624 96944 116664 145416 164688 187248 228467 233328 284773 290832 354853 403463 456934 569546 685401 709706 806926 854319 913868 1064559 1139092 1210389 1370802 1419412 1613852 1708638 1827736 2129118 2278184 2420778 2741604 2838824 3227704 3417276 3655472 4258236 4556368 4841556 5483208 5677648 6455408 6834552 8516472 9683112 10966416 13669104 16678091 17032944 18962761 19366224 29452799 33356182 37925522 50034273 56888283 58905598 66712364 75851044 88358397 100068546 113776566 117811196 133424728 151702088 176716794 200137092 227553132 235622392 266849456 303404176 353433588 400274184 455106264 471244784 706867176 800548368 910212528 1384281553 1413734352 2768563106 4152844659 5537126212 8305689318 11074252424 16611378636 22148504848 33222757272 66445514544